5 years, 12 days

Solve a PDE with a known solution...

Maple 16

Can anyone help me to find a solution to  for the attached partial differential equation ?

I want to find a general solution to a partial differential equation by assuming that I know one solution, called , and trying to find another solution  by assuming that the general solution in the form of . I want to restrict the second solution to be in the form of  so that it satisfies the PDE, and is a function of  times . The latter makes error as the maple identifies that the function  depends on only one variable . Could you please help me to find a solution for  in the form ?

Also, I have trouble with defining the operator Do in the attached file.  When it operates on , maple gives D. It is not clear for me that whether this derivative is with respect to  or . I need is to define Do in a way so that the derivatives are correctly taken with respect to different separate variables.

Solve a system of partial differential e...

Maple 16

Can anyone help me to solve the attached system of PDEs with a given expression for the HINT such as

I am not able to set such an arbitray HINT function for system of PDEs.

SysPDE_HINT.mw

Thank you,

How to convert a function expressed by t...

Maple 16

Anyone can help me to convert the following maple solution expressed by the hypergeom function to the LegendreP(n,b,x) or Q function?

 >
 >
 >
 >
 (1)
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 (2)
 >

https://math.stackexchange.com/questions/3254765/how-to-convert-a-hypergeom-function-to-the-legendre-function

I just want y(x) to be expressed in the form of LegendreP(n,b,x).

Maple: How to solve the given Partial Di...

Maple 16

I need help on solving the following PDE by Maple:

https://math.stackexchange.com/questions/3177491/how-to-solve-the-given-partial-differential-equation