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Question: how to get this pde solved?

Question:how to get this pde solved?

mehdi jafari 754 Maple
pde pdsolve differential-equations
August 03 2022
0

how can i get this pde solved ( numeric or analytical)
 

> 

restart
> 

pde__1 := diff(z(x, t), `$`(t, 2))-(diff(z(x, t), `$`(x, 2)))+z(x, t)^2 = 6*x*t*(-t^2+x^2)+x^6*t^6

diff(diff(z(x, t), t), t)-(diff(diff(z(x, t), x), x))+z(x, t)^2 = 6*x*t*(-t^2+x^2)+x^6*t^6

 (1)
> 

conds__1 := z(x, 0) = 0, z(0, t) = 0, z(1, t) = t^3
> 

pdsolve([pde__1, conds__1])
> 

``
> 

NULL


 

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