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Question: Maple doesn't solve my PDE with pdsolve. Why?

Question:Maple doesn't solve my PDE with pdsolve. Why?

utcyp 20 Maple 2018
differential-equation pde pdsolve
July 24 2018
2

question.mw

Hello there,

I am trying to solve a pretty simple Cauchy Problem:

PDE := diff(u(t, x, y), t)+.5*(diff(u(t, x, y), x, x))+diff(u(t, x, y), x, y)+.5*(diff(u(t, x, y), y, y))+diff(u(t, x, y), x)+diff(u(t, x, y), y)+(1+(x+y)^2)*u(t, x, y) = 0

bc := u(0,x,y)=1;

with pdsolve and I get a result.

But surprisingly, Maple's pdetest applied to this result doesn't yield zero.

Hence, Maple solves my problem, but it also says that this solution is not right?

How is that possible?

 

Thanks a lot for your help. (btw: this is my first post here :))

Best regards,

utcyp

 
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