Solving inhomogeneous PDEs

  • Thread starter Onias
  • Start date
  • #1
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Homework Statement


Hello, I'm having a problem solving second order inhomogeneous PDEs, for example the standard heat equation with a forcing term Sin(x)Sin(t) added onto it on the right hand side.


Homework Equations



ut = uxx + Sin(ax)Sin(bt)

The Attempt at a Solution


I can solve it for the homogeneous case using separation of variables, but where do I go from there? Thanks in advance.
 

Answers and Replies

  • #2
hunt_mat
Homework Helper
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Greens function?
 

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