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Can Mathematica do Separation of Variables?


Hi!

Can somebody please tell me if Mathematica can do separation of
variables (using DSolve)

for ex: if I give this equation to DSolve, its not able to separate the
variables

D[u[x,t],{t,2}]==D[u[x,t],{x,2}]+D[u[x,t],{t,1},{x,2}]

Thanks,

Raj


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