(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Uxx+Uyy-c^2*u=0

for -inf<x<inf

y>0, subject to boundary conditions

Uy(x,0)=f(x), u(x,y) bounded as x-> +/- inf or y -> inf

2. Relevant equations

Fourier transform

greens function?

3. The attempt at a solution

I would think that I would have to go through two fourier transforms to get this to be solved, or use greens function. However, I remember going through in class where since the PDE has constant coefficients, I can go ahead and solve assuming U=e^(rx+sy).

Is this the right path to go? I tried using the CC method using U=e^(rx+sy), but it isn't giving me a straightforward answer.

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# Solving second order CC non-homogenuous pde

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