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D'Alambert problem

  1. Apr 16, 2008 #1
    1. The problem statement, all variables and given/known data


    please see the attachement

    2. Relevant equations

    Could somebody explain how to get the the system of equations at the bottom of the page from integrating g(x)?

    3. The attempt at a solution

    I attempted to integrate, but couldn't get the right answer, do I need to subtract the previous integration from the current one?
    Last edited: Apr 16, 2008
  2. jcsd
  3. Apr 16, 2008 #2


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    Just so you know, we can't download your attachment until a mentor approves it.
  4. Apr 17, 2008 #3
    g(x) = 1 when -1 < x < 1, and g(x) = 0 otherwise

    how do I get

    u(x,t) = (x+at+1)/2a for -1-at < x < -1+at
    = t for -1+at < x < 1-at
    = (1-x+at)/2a for 1-at< x<1+at

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