I just want to know when would you use a Fourier transform method to solve a PDE vs. separation of variables or Laplace transform? My guess is that a Fourier transform is for a problem in which the solution exists from negative infinity to positive infinity, whereas a Laplace transform would for a solution which is bounded from 0 to infinity, but I still don't know when you would use separation of variables even if you are in the domain in which you could use a fourier or laplace transform. All this is somewhat loosely stated. Thanks to everyone in advance who can clear this up for me and confirm if what I said was correct above.(adsbygoogle = window.adsbygoogle || []).push({});

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# Different methods to solving PDE's

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