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Question: Error, (in PDEtools:-Solve) found functions with same name, but works OK in solve

Question:Error, (in PDEtools:-Solve) found functions with same name, but works OK in solve

nm 10219 Maple 2024
solve pdetools laplace
November 21 2024
1

Is this a known error when using PDEtools:-Solve? I get no error using solve on same input, so thought to ask, just in case it should not happen.

For now, I will change my code to use solve for this.

I am basically solving two equations in Laplace domain for Y1(s) and Y2(s). But since there are initial conditions x(0) and y(0) in the equations, and Laplace has L(x(t),t,s)  then PDEtools:-Solve is not happy, as it sees x(t) and x(0) in same input.

But solve has no problem with this. Who is correct? solve or Solve?

> 

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 1828 and is the same as the version installed in this computer, created 2024, November 18, 7:25 hours Pacific Time.`

> 

libname;

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

> 

restart;
> 

sys:=[s*laplace(x(t),t,s)-x(0) = -3*laplace(x(t),t,s)+4*laplace(y(t),t,s)+1/(s^2+1), s*laplace(y(t),t,s)-y(0) = -2*laplace(x(t),t,s)+3*laplace(y(t),t,s)+1/s^2];
Ys:=[laplace(x(t),t,s), laplace(y(t),t,s)];

[s*laplace(x(t), t, s)-x(0) = -3*laplace(x(t), t, s)+4*laplace(y(t), t, s)+1/(s^2+1), s*laplace(y(t), t, s)-y(0) = -2*laplace(x(t), t, s)+3*laplace(y(t), t, s)+1/s^2]

[laplace(x(t), t, s), laplace(y(t), t, s)]

> 

solve(sys,Ys);

[[laplace(x(t), t, s) = (x(0)*s^5+4*y(0)*s^4-3*x(0)*s^4+x(0)*s^3+4*y(0)*s^2-3*x(0)*s^2+s^3+s^2+4)/((s^4-1)*s^2), laplace(y(t), t, s) = (y(0)*s^5+3*y(0)*s^4-2*x(0)*s^4+y(0)*s^3+3*y(0)*s^2-2*x(0)*s^2+s^3+s^2+s+3)/((s^4-1)*s^2)]]

> 

PDEtools:-Solve(sys,Ys)

Error, (in PDEtools:-Solve) found functions with same name but depending on different arguments in the given DE system: x(0), x(t). Specification of the dependent variables is required

 

 

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