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Wave equation

  1. Jul 29, 2008 #1
    We are supposed to work this using Laplace transforms

    [tex]U_{tt}=9U_{xx}; -infty<x<infty[/tex]



    The attempt at a solution

    [tex]Let L=\hat{U}[/tex]





    This is a second order nonhomogeneous equation where the homogeneous solution is


    and the particular solution is


    Then we have


    We know that



    That second one should say limit as x approaches negative infinity, cant figure out how to get latex to do that



    Second one negative infinity again

    If we plug these in we get



    I'm not sure if that last step is legal, but if it is you can use the same reasoning for B(s)
    Any ideas?
  2. jcsd
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