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Homework Help: Help with a pde

  1. Sep 1, 2010 #1
    1. The problem statement, all variables and given/known data

    struggling with a problem and hoping someone could help me out. the problem reads,

    Let F and G be arbitrary differentiable functions of one variable. Show that u(x,t) = f(x+ct) + G(x-ct) is a solution to the wave equation, provided that F and G are sufficiently smooth.

    thanks in advance

    2. Relevant equations




    3. The attempt at a solution
     
  2. jcsd
  3. Sep 1, 2010 #2

    lanedance

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    Homework Helper

    i'd start with the wave equation
     
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