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Error, (in dsolve) type `System` does not exist wh...

Asked by: nm 11353
ode dsolve threads
December 26 2024
1  4

I am trying to see if I can get speed up by using dsolve inside thread.

I made very simple example of global list of two differential equations to start with.

Next, created two threads where each picks one ode from the global list to process. So they should in theory run in parallel. The list of ode's is a global list in the worksheet for now.

But I keep getting error when calling dsolve 

               Error, (in dsolve) type `System` does not exist

I tried also passing the actual ode to the thread, still, same error.

Next, I did not pass anything, but called dsolve directly from inside thread proc on same ode. The ode is local variable inside the proc. I still get same error.

                        Does this mean dsolve is not supported by threads? 

But when I searched this subject, AI says it works in threads:

 

Everything works OK when I run dsolve in worksheet outside thread (i.e. normally).

I will show below worksheet showing these cases. I must not be doing something right. But what? Can one not pass data from global worksheet to the thread this way? Or does one needs to load something in each thread to make this work?

> 

interface(version);

`Standard Worksheet Interface, Maple 2024.2, Windows 10, October 29 2024 Build ID 1872373`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1840 and is the same as the version installed in this computer, created 2024, December 2, 10:11 hours Pacific Time.`

> 

libname;

"C:\Users\Owner\maple\toolbox\2024\Physics Updates\lib", "C:\Program Files\Maple 2024\lib"

Example 1. Passing index of list to thread

 
> 

restart;

> 

g_list:=[sin(t)*diff(x(t),t$2)+cos(t)*diff(x(t),t)+2*x(t)=0,
         diff(y(x),x)=lambda*sin(lambda*x)*y(x)^2+a*cos(lambda*x)^n*y(x)-a*cos(lambda*x)^(n-1)]:

> 

work_func:=proc(i::posint)  
  :-dsolve(g_list[i]):
end proc:

> 

Threads:-Wait(  seq( Threads:-Create( work_func(i)), i=1..2) );

Error, (in dsolve) type `System` does not exist

Example 2. Passing actual ode itself to thread

 
> 

restart;

> 

g_list:=[sin(t)*diff(x(t),t$2)+cos(t)*diff(x(t),t)+2*x(t)=0,
         diff(y(x),x)=lambda*sin(lambda*x)*y(x)^2+a*cos(lambda*x)^n*y(x)-a*cos(lambda*x)^(n-1)]:

> 

work_func:=proc(ode::`=`)  
  :-dsolve(ode):
end proc:

> 

Threads:-Wait(  seq( Threads:-Create( work_func(g_list[i])), i=1..2) );

Error, (in dsolve) type `System` does not exist

> 

 

Example 3. Normal processing. No threads

 
> 

restart;

> 

g_list:=[sin(t)*diff(x(t),t$2)+cos(t)*diff(x(t),t)+2*x(t)=0,
         diff(y(x),x)=lambda*sin(lambda*x)*y(x)^2+a*cos(lambda*x)^n*y(x)-a*cos(lambda*x)^(n-1)]:

> 

work_func:=proc(ode::`=`)  
  :-dsolve(ode):
end proc:

> 

for item in g_list do
    work_func(item);
od:

> 

#no error

> 

 

Example 4. do not pass anything. Just call dsolve

 
> 

restart;

> 

work_func:=proc(i::posint)  
  local x,t;
  local ode:=sin(t)*diff(x(t),t$2)+cos(t)*diff(x(t),t)+2*x(t)=0;
  :-dsolve(ode):
end proc:

> 

Threads:-Wait(  seq( Threads:-Create( work_func(i)), i=1..2) );

Error, (in dsolve) type `System` does not exist

> 

 

 

 

Download error_dsolve_using_threads_dec_26_2024.mw

implicitplot misbehaves in Maple 2024...

Asked by: Rouben Rostamian 8501
implicitplot plotting
December 26 2024
3  5
> 

restart;

Here are the graphs of a parabola and a straight line:

> 

plots:-display(
        plot(x^2, x=-1..1),
        plot((x+1)/2, x=-1..1),
color=["Red","Green"]);
 

Suppose I want to plot the part of the parabola that lies below

the straight line, and suppose, just to be nasty, I choose to do it

with implicitplot:

> 

plots:-implicitplot(y=x^2, x=-1..1, y=0..(x+1)/2);
 

That is not a parabola at all.  [And where does the "ynew" label come from?]

 

This behavior was introduced in Maple 2022.

In Maple 2021 we get the expected result:

plots:-implicitplot(y=x^2, x=-1..1, y=0..(x+1)/2);


 

Download mw.mw

How is the simplification achieved...

Asked by: Ronan 1341
radical simplification
December 20 2024
0  2

2024-12-20_Q_simplification_Question.mw
Solve the general cubic. Apply values and simplify. 

Could someone show how Maple simplifies to the value of X=3? I tried doing it manually and I could not figure it out. 

Also is there a Help assistant to see the setps?

> 

restart
> 

 

> 

 

> 

X^3+a*X=b

X^3+X*a = b

 (1)
> 

 

> 

 

> 

sol:=solve(X^3+a*X=b,[X])

[[X = (1/6)*(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)-2*a/(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)], [X = -(1/12)*(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)+a/(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)+((1/2)*I)*3^(1/2)*((1/6)*(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)+2*a/(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3))], [X = -(1/12)*(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)+a/(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)-((1/2)*I)*3^(1/2)*((1/6)*(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3)+2*a/(108*b+12*(12*a^3+81*b^2)^(1/2))^(1/3))]]

 (2)
> 

vals:=[a=6,b=45]

[a = 6, b = 45]

 (3)
> 

Nans:=(map(eval,sol,vals))

[[X = (1/6)*(4860+12*166617^(1/2))^(1/3)-12/(4860+12*166617^(1/2))^(1/3)], [X = -(1/12)*(4860+12*166617^(1/2))^(1/3)+6/(4860+12*166617^(1/2))^(1/3)+((1/2)*I)*3^(1/2)*((1/6)*(4860+12*166617^(1/2))^(1/3)+12/(4860+12*166617^(1/2))^(1/3))], [X = -(1/12)*(4860+12*166617^(1/2))^(1/3)+6/(4860+12*166617^(1/2))^(1/3)-((1/2)*I)*3^(1/2)*((1/6)*(4860+12*166617^(1/2))^(1/3)+12/(4860+12*166617^(1/2))^(1/3))]]

 (4)
> 

simplify(Nans)

[[X = 3], [X = (1/4)*(I*3^(1/2)*(180+44*17^(1/2))^(2/3)+(8*I)*3^(1/2)-(180+44*17^(1/2))^(2/3)+8)/(180+44*17^(1/2))^(1/3)], [X = -3/2-((1/2)*I)*51^(1/2)]]

 (5)
 

 

Download 2024-12-20_Q_simplification_Question.mw

How remove error when changing delta parameter in ...

Asked by: salim-barzani 1555
finance spam numeric
December 17 2024
0  16

This is my first time working with plotting data from a matrix. However, with the help of a friends on MaplePrimes, I learned how to plot the data in both Maple and MATLAB. Despite this, I am having trouble with visualization. When I change the delta value, my function experiences vibrations or noise, which is clearly visible in the plot. But when I change delta, I encounter errors with my matrix data. How can I fix this problem? and there is any way for get better visualization by Explore ? also How show this vibration or noise in 2D?

> 

restart;
> 

randomize():
> 

local gamma;

gamma

 (1)
> 

currentdir(kernelopts(':-homedir'))
> 

NULL
> 

T3 := (B[1]*(tanh(2*n^2*(delta^2-w)*k*t/((k*n-1)*(k*n+1))+x)-1))^(1/(2*n))*exp(I*(-k*x+w*t+delta*W(t)-delta^2*t))

(B[1]*(tanh(2*n^2*(delta^2-w)*k*t/((k*n-1)*(k*n+1))+x)-1))^((1/2)/n)*exp(I*(-k*x+w*t+delta*W(t)-delta^2*t))

 (2)
> 

NULL
> 

params := {B[1]=1,n=2,delta=1,w=1,k=3 };

{delta = 1, k = 3, n = 2, w = 1, B[1] = 1}

 (3)
> 

NULL

insert numerical values

> 

solnum :=subs(params, T3);

(tanh(x)-1)^(1/4)*exp(I*(-3*x+W(t)))

 (4)
> 

CodeGeneration['Matlab']('(tanh(x)-1)^(1/4)*exp(I*(-3*x+W(t)))')

Warning, the function names {W} are not recognized in the target language

  

cg = ((tanh(x) - 0.1e1) ^ (0.1e1 / 0.4e1)) * exp(i * (-0.3e1 * x + W(t)));

  
> 

N := 100:

use Finance in:
  Wiener := WienerProcess():
  P := PathPlot(Wiener(t), t = 0..10, timesteps = N, replications = 1):
end use:
> 

W__points := plottools:-getdata(P)[1, -1]:
t_grid := convert(W__points[..,1], list):
x_grid := [seq(-2..2, 4/N)]:
> 

T, X := map(mul, [selectremove(has, [op(expand(solnum))], t)])[]:

ST := unapply(eval(T, W(t)=w), w)~(W__points[.., 2]):
SX := evalf(unapply(X, x)~(x_grid)):

STX := Matrix(N$2, (it, ix) -> ST[it]*SX[ix]);

_rtable[36893490640185799852]

 (5)
> 

opts := axis[1]=[tickmarks=[seq(k=nprintf("%1.1f", t_grid[k]), k=1..N, 40)]],
        axis[2]=[tickmarks=[seq(k=nprintf("%1.1f", x_grid[k]), k=1..N, 40)]],
        style=surface:

DocumentTools:-Tabulate(
  [
    plots:-matrixplot(Re~(STX), opts),
    plots:-matrixplot(Im~(STX), opts),
plots:-matrixplot(abs~(STX), opts)
  ]
  , width=60
)

"Tabulate"

 (6)
> 

MatlabFile := cat(currentdir(), "/ST2.txt"); ExportMatrix(MatlabFile, STX, target = MATLAB, format = rectangular, mode = ascii, format = entries)

421796

 (7)

NULL

Download data-analysis.mw

Techniques for Simplifying Differential Equations...

Asked by: salim-barzani 1555
pde differential-equations
December 11 2024
0  0

I'm trying to transform a partial differential equation (PDE) into an ordinary differential equation (ODE) as demonstrated in the paper. However, I find some steps confusing and difficult to follow. The process often feels chaotic, and managing the complexity of the equations is overwhelming. Could you suggest an effective and systematic method to handle such transformations more easily?

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

NULL
> 

with(SolveTools)
> 

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

 (1)
> 

declare(Omega(x, t)); declare(U(xi))

Omega(x, t)*`will now be displayed as`*Omega

  

U(xi)*`will now be displayed as`*U

 (2)
> 

tr := {t = tau, x = tau*c[0]+xi, Omega(x, t) = U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))}

{t = tau, x = tau*c[0]+xi, Omega(x, t) = U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))}

 (3)
> 

P1 := diff(Omega(x, t)^m, t)

Omega(x, t)^m*m*(diff(Omega(x, t), t))/Omega(x, t)

 (4)
> 

L1 := PDEtools:-dchange(tr, P1, [xi, tau, U])

(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*(-((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))*c[0]+I*U(xi)*(-k*c[0]+w+delta*(diff(W(tau), tau))-delta^2)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))/(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))

 (5)
 
> 

pde1 := I*(diff(Omega(x, t)^m, t))+alpha*(diff(Omega(x, t)^m, `$`(x, 2)))+I*beta*(diff(abs(Omega(x, t))^(2*n)*Omega(x, t)^m, x))+m*sigma*Omega(x, t)^m*(diff(W(t), t)) = I*gamma*abs(Omega(x, t))^(2*n)*(diff(Omega(x, t)^m, x))+delta*abs(Omega(x, t))^(4*n)*Omega(x, t)^m

I*Omega(x, t)^m*m*(diff(Omega(x, t), t))/Omega(x, t)+alpha*(Omega(x, t)^m*m^2*(diff(Omega(x, t), x))^2/Omega(x, t)^2+Omega(x, t)^m*m*(diff(diff(Omega(x, t), x), x))/Omega(x, t)-Omega(x, t)^m*m*(diff(Omega(x, t), x))^2/Omega(x, t)^2)+I*beta*(2*abs(Omega(x, t))^(2*n)*n*(diff(Omega(x, t), x))*abs(1, Omega(x, t))*Omega(x, t)^m/abs(Omega(x, t))+abs(Omega(x, t))^(2*n)*Omega(x, t)^m*m*(diff(Omega(x, t), x))/Omega(x, t))+m*sigma*Omega(x, t)^m*(diff(W(t), t)) = I*gamma*abs(Omega(x, t))^(2*n)*Omega(x, t)^m*m*(diff(Omega(x, t), x))/Omega(x, t)+delta*abs(Omega(x, t))^(4*n)*Omega(x, t)^m

 (6)
> 

NULL
> 

L1 := PDEtools:-dchange(tr, pde1, [xi, tau, U])

I*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*(-((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))*c[0]+I*U(xi)*(-k*c[0]+w+delta*(diff(W(tau), tau))-delta^2)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))/(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))+alpha*((U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m^2*((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^2/(U(xi)^2*(exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^2)+(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*((diff(diff(U(xi), xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-(2*I)*(diff(U(xi), xi))*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-U(xi)*k^2*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))/(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))-(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^2/(U(xi)^2*(exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^2))+I*beta*(2*(abs(U(xi))*exp(-Im(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^(2*n)*n*((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))*abs(1, U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m/(abs(U(xi))*exp(-Im(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))+(abs(U(xi))*exp(-Im(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^(2*n)*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))/(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))))+m*sigma*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*(diff(W(tau), tau)) = I*gamma*(abs(U(xi))*exp(-Im(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^(2*n)*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m*m*((diff(U(xi), xi))*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau))-I*U(xi)*k*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))/(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))+delta*(abs(U(xi))*exp(-Im(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^(4*n)*(U(xi)*exp(I*(-k*(tau*c[0]+xi)+w*tau+delta*W(tau)-delta^2*tau)))^m

 (7)
> 

``

``

 (8)

Download transform-pde-to-ode-hard_example.mw

questions about mapole...

Asked by: StudentOne 0
differential-equations plotting incomplete-question
December 10 2024
0  2

Hello sir, how are you?
Sorry to bother you, I needed your help. I have the script from your textbook "3D Graph Equation of Motorcycle run on Maple Software". It's not working. I'd appreciate it if you could take a look.

with(plots);
implicitplot3d(((49.80*x + 19.44*y + 133.2300 - 19.08*sqrt(x^2 + 8.30*x + 19.8469 + y^2 + 3.24*y) - 66.6150*abs(-3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + 0.5625*abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) = ((((((((((((2 + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(y^2 - 3.18)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24)) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24) + 0.42*abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) and ((((((((((((2 + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(y^2 - 3.18)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24)) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24) + 0.42*abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) = 0, x = -7 .. 7, y = -4 .. 3, z = -3 .. 3, numpoints = 350000, style = surface, color = "Niagara Azure");

Why cant I animate images like this? usingdisplay ...

Asked by: nmacsai 260
animation plotting background
December 08 2024
0  3

I am trying to animate images generated in a do loop using display and insequence. I get an output but there is no flipping of the image even while I see the frames count flip through the frames. What am I doing wrong? See attached code. Thanks!

Why_cant_I_animate_still_images_like_this.mw

Why do I get this error when solving a union of tw...

Asked by: Saalehorizontale 55
solve inequality set
December 08 2024
0  3

Hey guys, 

in the attached file you can see my problem. Since Maple was not able to calculate my set with 8 equations, 8 variables and 13 inequalities I had to split in into two steps. Here you can see how I try to take one solutions of what I got with solve onto 8 equations with 8 variables and to solve this together with my inequalities. It never was a problem before. So ow I get a weird error I dont understand.

> 

restart; inequalities := {0 < k, 0 < m, 0 < s, 0 < x, 0 < y, 0 < n+(p-1)*s, 0 < (m*y-1)*n+(m*x-m+1)*(1-p), 0 < (m*x-m-s+1)*p+m*y*(s-n), 1 < x+y, k < 1, m < 1, s < t, t < 1}; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, inequalities)); inequalities := {0 < k, 0 < m, 0 < s, 0 < x, 0 < y, 0 < n+(p-1)*s, 0 < (m*y-1)*n+(m*x-m+1)*(1-p), 0 < (m*x-m-s+1)*p+m*y*(s-n), 1 < x+y, k < 1, m < 1, s < t, t < 1}

Error, (in unknown) invalid input: SolveTools:-Inequality expects its 1st argument, eqns, to be of type {list, set}({`<`, `<=`, `=`}), but received [p < 1, -p < 0, And(2*argument((p-1)/p) <= Pi,-Pi < 2*argument((p-1)/p))]

  
> 

restart; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, {0 < x, 0 < y}))

{k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 3/2+(1/2)*5^(1/2) < p}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 1 < p, p < 3/2+(1/2)*5^(1/2)}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 1/2 < p, p < (1/2)*5^(1/2)-1/2}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), p < 1, (1/2)*5^(1/2)-1/2 < p}

 (1)
> 

restart; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, {0 < s, 0 < x, 0 < y}))

Error, (in unknown) invalid input: SolveTools:-Inequality expects its 1st argument, eqns, to be of type {list, set}({`<`, `<=`, `=`}), but received [-p < 0, And(2*argument((p-1)/p) <= Pi,-Pi < 2*argument((p-1)/p))]

  
 

NULL

So my question is why does this error occur? And what does it mean? the "but received..." argument in the error makes no sense to me. Why does it happen when I add 0<s but 0<x,0<y is okay?

Thank you in advance

Download Why_this_error.mw

Apply Bilinear form for some PDE...

Asked by: salim-barzani 1555
pde differential-equations incomplete-question
December 03 2024
0  1

I try to get some Bilinear form for some PDE equation  and already i have algorithm by writing in lecture but i can't apply i don't what is mistake i did, and i didn't seen some of this lecture code in maple  like (myint(expr,var))
 i  do upload PIcture of algorithm and example which they get Bilinear form 

Bilinear.mw

thanks for any help

dsolve gets stuck...

Asked by: Scot Gould 1039
December 02 2024
1  4

dsolve gets stuck on a problem. Attached is the worksheet.

In Case I, dsolve solves the two ODEs separately. In Case II, dsolve solves them together, but only if I define a constant. In Case III the constant is not defined. dsolve never returns, and I have to hit the stop sign. The question I have: Is there a consistent method to the failure so that I can avoid the problem in the future with other ODEs?

dsolve_bug.mw

What "style" are the icons?...

Asked by: Scot Gould 1039
2dmath font style
December 01 2024
1  0

Question: Is there a style for the icons from the palettes? 

(The rest of this post is a screenshot because MaplePrimes can't show the change in fonts.)s a

Why when i take integral from whole equation is n...

Asked by: salim-barzani 1555
integration spam differential-equations
November 30 2024
0  1

why i take intgral from equation it must apply for each term but just by sign is show up how it will work?

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

NULL
> 

with(SolveTools)
> 

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

 (1)
> 

declare(w(x, t))

w(x, t)*`will now be displayed as`*w

 (2)
> 

declare(f(x, t))

f(x, t)*`will now be displayed as`*f

 (3)
> 

NULL
> 

pde := diff(w(x, t), `$`(t, 2))-a*(diff(w(x, t), `$`(x, 4)))-b*(diff(w(x, t), `$`(x, 2), `$`(t, 2)))+(diff(w(x, t), t))*(diff(w(x, t), `$`(x, 2)))+2*(diff(w(x, t), x))*(diff(w(x, t), x, t)) = 0

diff(diff(w(x, t), t), t)-a*(diff(diff(diff(diff(w(x, t), x), x), x), x))-b*(diff(diff(diff(diff(w(x, t), t), t), x), x))+(diff(w(x, t), t))*(diff(diff(w(x, t), x), x))+2*(diff(w(x, t), x))*(diff(diff(w(x, t), t), x)) = 0

 (4)
> 

Y := w(x, t) = 2*(diff(ln(f(x, t)), `$`(x, 2)))

w(x, t) = 2*(diff(diff(f(x, t), x), x))/f(x, t)-2*(diff(f(x, t), x))^2/f(x, t)^2

 (5)
> 

L := eval(pde, Y)

2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0

 (6)
> 

numer(lhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))*denom(rhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), 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t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0)) = numer(rhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, 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x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))*denom(lhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))

2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b = 0

 (7)
> 

map(int, -8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b = 0, x)

int(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b, x) = 0

 (8)

``

 (9)
 

``

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Why 2d input sometimes becomes roman...

Asked by: C_R 3402
interface 2dmath
November 25 2024
4  10

Something has changed in the past weeks (not sure for how long) and I have not figured out what exactly.

Probably it is me doing something differently while editing an input line. Below is an example where the name data is not italic any more

Anybody else experiencing the same?

My interface seetings:

Find ODE solution with condition parameter ?...

Asked by: salim-barzani 1555
ode assumptions homework
November 23 2024
0  12

How we can calculate solution of this ODE by give assumption to the equation , we have otehr case too, like lambda>0&mu<0

Screen display on Maple 2020 vs Maple 2024...

Asked by: Jean-Marc Roy 20
November 20 2024
1  1

Any reason why the display of a fairly large plot in Maple 2024 (only show a print screen here)


be worst then the display of the same plot in Maple 2020

In 2024, it seams to be rasterized, while in 2020 it is still in vector form. Also the plot does not resize as well in 2024 compare to 2020. Any hint would help!

Maybe large plot are displayed in raster image, there is probably a setting somewhere in the documentation. When I export both are in vector format...

Thanks!

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