Question: Solve a system of partial differential equations with a given expression for HINT

Can anyone help me to solve the attached system of PDEs with a given expression for the HINT such as HINT = F[1](t)*F[2](r*sin(phi))

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

SysPDE_HINT.mw

 

Thank you,

Ahmad

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