Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18

eq1 := diff(f(x), x, x, x)+(1/2)*cos(alpha)*x*(diff(f(x), x, x))+(1/2)*sin(alpha)*f(x)*(diff(f(x), x, x)) = 0;

eq2 := diff(g(x), x, x)+diff(g(x), x)+(diff(g(x), x))*(diff(h(x), x))+cos(alpha)*x*(diff(g(x), x))+sin(alpha)*f(x)*g(x) = 0;

eq3 := diff(g(x), x, x)+diff(h(x), x, x)+1/2*(cos(alpha)*x+sin(alpha)*f(x)) = 0

ics := f(0) = 0, (D(f))(0) = 1, ((D@@2)(f))(0) = a[1], g(0) = 1, (D(g))(0) = a[2], h(0) = 1, (D(h))(0) = a[3];

if i solved two integral seperately..it solved.. but i can't solve together..what's wrong...please help

restart

"al_eq:=`D__11`*(∫)[0]^(a)((ⅆ)^2)/((ⅆ)^( )x^2) A*((ⅆ)^2)/((ⅆ)^( )x^2) A ⅆx (∫)[0]^(b)B*B ⅆy;"

Error, invalid product/quotient

"al_eq:=`D__11`*(∫)[0]^a((ⅆ)^2)/((ⅆx)^2) A*((ⅆ)^2)/((ⅆx)^2) A ⅆx (∫)[0]^bB*B ⅆy;"

 

``

B^2*b

(1)

``

Download 2.mw

i want to sovle this problem ..but i dont' know how to start..please help me.how to solve this eqution?

how to solve for lamda and r in this equtaions...please help

restart

with(LinearAlgebra):

solve(cos(lambda[i])*cosh(lambda[i]) = 1);

Warning, solutions may have been lost

 

0

(1)

evalf(%);

0.

(2)

lambda[i];

lambda[i]

(3)

r[i] := (cos(lambda[i])-cosh(lambda[i]))/(sin(lambda[i])-sinh(lambda[i]));

(cos(lambda[i])-cosh(lambda[i]))/(sin(lambda[i])-sinh(lambda[i]))

(4)

``

Download 1.mw

guys..i need help ...how to find the answer for this equation..for all value of in and b in (a and b)...for all combination of a and b

problem.mw

what is wrong..in the past ..this equations was solved..now it doesnt' solved anymore...integral equations

total_PE.mw

hello sir..i'm new..and i want to know how to put command prompt ..between two command line .i read but i didn't find..

hey guys...please watch my file and help me. when i call(Am)...it only shows last value. how can i get all (Am) value in like seq or table

restart

with(LinearAlgebra):

i := [seq(2*i-1, i = 1 .. 10)];

[1, 3, 5, 7, 9, 11, 13, 15, 17, 19]

(1)

for i in i do A[m] := (x/a)^(i+1)*(1-x/a)^2 end do;

x^2*(1-x/a)^2/a^2

 

x^4*(1-x/a)^2/a^4

 

x^6*(1-x/a)^2/a^6

 

x^8*(1-x/a)^2/a^8

 

x^10*(1-x/a)^2/a^10

 

x^12*(1-x/a)^2/a^12

 

x^14*(1-x/a)^2/a^14

 

x^16*(1-x/a)^2/a^16

 

x^18*(1-x/a)^2/a^18

 

x^20*(1-x/a)^2/a^20

(2)

``

Download 3.mw

when i call(Am)...it only shows last value. how can i get all (Am) value in like seq or table

i want to solve..this what is happening..i used maple not a long time ago.help me

restart; with(LinearAlgebra)

i := 1;

1

(1)

w := c[i]*(x/a)^(i+1)*(1-x/a)^2*(y/b)^(i+1)*(1-y/b)^2;

c[1]*x^2*(1-x/a)^2*y^2*(1-y/b)^2/(a^2*b^2)

(2)

(1/2)*(int(int([D__11*(diff(w, x, x))^2+2*D__12*(diff(w, x, x))*(diff(w, y, y))+4*D[66]*(diff(w, x, y))^2+D[22]*(diff(w, y, y))^2-2*q*w], x = 0 .. b), y = 0 .. a))

Error, (in int) wrong number (or type) of arguments: for an operator integrand a range without a variable of integration is expected, got x = 0 .. b

 

``

Download 2.mw

ADM-1.mw

I need a help for solving this non linear equation by Adomian Decomposition Method.How to find A0,A1,A2... and u1,u2,u3 and a series.I am getting this error,Please help me.

restart

PDEtools[declare](prime = x);

`derivatives with respect to`*x*`of functions of one variable will now be displayed with '`

(1)

equ1 := u[tt] = 1/2*(u[xx]+u[yy])+u^2:

ICS; u(x, y, 0) = 1, u[t](x, y, 0) = e^(x+y), lambda = 0, u[0] = 1+t*e^(x+y), F(u[0]) = u[0]^2

for n from 0 to 5 do A[n] := d^n*[F*(sum(lambda^i*u[i], i = 0 .. n))]/(factorial(n)*`dλ`^n); u[n+1] = (1/2)*int[diff(sum(u[n], n = 0 .. 5), x, x)+diff(sum(u[n], n = 0 .. 5), y, y), t = 0 .. t, t = 0 .. t, dt*dt]+int[A[n], t = 0 .. t, t = 0 .. t, dt*dt] end do

``

Download ADM-1.mw

i try to plot this equation        2.96736996560705*10^(-12)*p^2+1.31319840299485*10^(-13)*t^2-8.89549693662593*10^(-7)*p+8.53128393394231*10^(-7)*t-3.65558815509970*10^(-30)*p*t-1 = 0 and use this command plots:-implicitplot(TWeq, p = -10^10 .. 10^11, t = -3*10^8 .. 3*10^8, gridrefine = 3, scaling = constrained, size = [1000, 100]) but  it only shows like this

it should be an ellipse but it just show like this..please help me.

I need help to solve this ODE,

I didn't get series values F(k+3),Theta(k+2),phi(k+2),error comes in summation values.and

How to find the unknown parameters A,B,C.

 TLF.mw

Dear Friends
On 22 March 2018, I received: 
 
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Please Help,

I am trying to plot some movement equations, but the following error keeps happening:

Error, (in dsolve/numeric/process_input) system must be entered as a set/list of expressions/equations

when I tryed to rewrite the equation the error became:

Can someone help me with those errors?

Here is the code

pp.mw

Please Help!  The flow gets me like this,Where should i fix this problem.The flow changes for me fluctuate through the series range.What to do to get upflow in f(eta) and downflow in theta(eta)

 MVP.mw

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