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Consider Dirichlet-Neumann problem uxx + uyy = 0,    −∞ < x < ∞, 0 <...

Consider Dirichlet-Neumann problem

uxx + uyy = 0,    −∞ < x < ∞, 0 < y < 1

u|y=0 = f(x)

uy|y=1 = g(x)

Make Fourier transform by x, solve problem for ODE for uˆ(k, y) which you get as a result and write u(x, y) as a Fourier integral.

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