Question

Partial differential equation (∂²Ψ/∂x²) – (∂²Ψ/∂y² ) = 0

                      Ψ = Ψ(x,y),

i-Find the general solution of this partial differential equation by using the separation of variables

ii-Find the general solution of this partial differential equation by using the Fourier transform

iii-Let Ψ(-L,y) = Ψ(L,y) , and Ψ(x,0) = Ψ(x,L) =0. Write the specific form of the solution you have found in either of part b).

Answer 1