Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hi,

 

I have a function of two variables defined implicitly, from which I'd like to get a data table. Simplified example

XY = 2 .... Generate

 

X    Y

1    2

2    4

3    0.666

4    0.5

 

Of course, Actual function is much more complex, Solving for one X in terms of Y not possible

This may be a quite basic problem, but I've been looking for a long time for a solution and could not find any.

Let's assume I have a function:

f:=(x)->exp(a*x);

Now I do diff(f(x), x);

How to make maple return result in a form: f(x)*a instead of a*exp(a*x)?

Ofcourse I would be very grateful for a solution which can do the same with nested functions and expressions...

I'm really struggling with plotting non linear equations onto maple.

I can plot Linear ones with DEtools quite easily, but struggle with Non Linear equations. I've tried PDEtools but not sure if thats relevant.

Trying to plot/display Basin of Attraction;

D(x)(t) = y
D(y)(t) = -ksinx      (can take k = -1)

Any ideas ?

i am supposed to solve this differential equation: y(prime) = 2(1+t)*y^3 where y(o) = 2^(-1/2) this is what ive done so far: > with(PDEtools, declare): with(DEtools): > declare(y(t)=t, prime=t): > diff(y(t),t)= 2(1+t)*(y^(3)); y(0)=2^(-1/2); the problem is that the (1+t) part always drops. what am i doing wrong?

I'm attempting to solve a big set of diff eqs.  I've heard maple has trouble with complex differential equations so I've broken them up into the real and imaginary parts.

The equations are as follows:

 eq1 := diff(RBx(x, t), t) = -x*IBx(x, t)-IUx(x, t)
eq2 := diff(IBx(x, t), t) = x*RBx(x, t)+RUx(x, t)
eq3 := diff(RBy(x, t), t) = -x*IBy(x, t)-IUy(x, t)-3*RBx(x, t)/(2*omega)
eq4 := diff(IBy(x, t), t) = x*RBy(x, t)+RUy(x, t)-3*IBx(x, t)/(2*omega)

A:=[X22(t) = 0, X26(t) = 0, X30(t) = 0, X34(t) = 0, X38(t) = 0, X42(t) = 0, X2(t) = X19(t), X5(t) = X23(t), X8(t) = X27(t), X11(t) = X31(t), X14(t) = X35(t), X17(t) = X39(t), X19(t) = X21(t), X23(t) = X25(t), X27(t) = X29(t), X31(t) = X33(t), X35(t) = X37(t), X39(t) = X41(t), X1(t) = Diff(X3(t), t), X4(t) = Diff(X6(t), t), X7(t) = Diff(X9(t), t),

I've got what turns out to be just a lot of algebraic manipulation - something Maple should rock at. But I can't seem to get things to turn out just right. I have a system of equations in the variable 's'. These are the equations of 3 op-amps, and I'm looking for the transfer function Vo/Vin. V1 and V2 are intermediate voltages at specific nodes, with R1-6 and C1-2, being parameters. V1 = -R2/R1*Vin, V2 = -Vo/(C1*R4*s)-V1/(C1*R3*s), Vo = R6*V2/(R6+R5)+R6*Vin/(1/(C2*s)+R6)

Hi,

The aim is simple. For some defined procedures, I would like to load them with one single line, and show the 'welcome' message, then be able to use the procedures.

Download 7845_test.zip
View file details

============================

In 'hello' file,

Hi,

How can I ExportMatrix/ImportMatrix without specific column(s)?

say I want to ExportMatrix(M,filename) without the last column?

Thanks.

casper

I found on the internet a basic definition of mean reversion ( http://mathworld.wolfram.com/ReversiontotheMean.html )

I would assume such definition would also work as an definition of stationarity:
 

" Reversion to the mean, also called regression to the mean, is the statistical phenomenon stating that the greater the deviation of a random variate from its mean, the greater the probability that the next measured variate will deviate less far. In other words, an extreme event is likely to be followed by a less extreme event."

Hi,

errors such as

"Error, (in ImportMatrix) file or directory does not exist"
"Error, Matrix index out of range"

can I redefine the error message in a procedure?

say if "Error, (in ImportMatrix) file or directory does not exist" happens,

I want it to printf("You have not got the message yet.")

Generally, what shall I be looking for in the help in Maple?

 

Thanks.

casper

 

for what value or interval of p (-infinity < p < infinity) the following is valid

 

(1+x)^(m+1) > (1+x^m)* 2^m

 

here x > 1

Hi,

 

myproc:=proc(name)
local i;
i:=10;
save i,"i_name";
end proc;

myproc(bob);

basically, I want to save the value i in the file that has name i_bob in this case.

how should I do that?

and dose it work the same way with Matrix? say I would like to Export a Matrix with name Matrix_bob, (or whatever I input in the myproc proceudre? )

 

Thanks.

 

I have a system of five big big big differential equations with a lot of Sin and cos. The system is not complex itself but we have complex  initial condtition?

How can I solve my system with maple with dsolve or something else?

 

Thanks

 

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