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Question: substitute u(t,x,y) into a PDEs

Question:substitute u(t,x,y) into a PDEs

Zeineb 530 Maple 17
pde exact differential-equations
September 12 2023
1

Dear all
I would like to verify if the proposed solution u_exact of my partial differential equation defined on \mathbb{R}^2, with zero boundary condition 
I write the  exact solution, how substitute this  to verify that the PDE is satisfied or not. I tried to substitute but I think someting missing. 
Please check ...

solution_pde_check.mwsolution_pde_check.mw

Thank you
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