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Inhomogeneous wave equation

  1. Nov 9, 2009 #1
    I need help solving 3Utt+10Uxt+3Uxx=sin(x+t)

    I have found the homogeneous part, which is U(x,t)=f(3x-t) +g(x-3t), but I don't know where to go from there. Any help would be much appreciated!
     
  2. jcsd
  3. Nov 9, 2009 #2

    arildno

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    Well, make a trial solution [tex]U_{p}(x,t)=A\sin(x+t)[/tex] and see if you can determine what "A" must be. :smile:
     
  4. Nov 9, 2009 #3
    Back to the basics! For some reason I thought it was going to be way more difficult.
    My final solution is U(x,t)=f(3x-t) + g(x-3t) - sin(x+t)/16

    Thanks for your help! :smile:
     
  5. Nov 11, 2009 #4
    I though the try function should be of the form

    [tex]U_{p}(x,t)=A\sin(x+t) + B\cos(x+t)[/tex]
     
  6. Nov 11, 2009 #5

    arildno

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    And B will be 0..:smile:
     
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