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D'alembert solution Help (easy)

  1. May 14, 2010 #1
    Hi I have been trying to figure out how this method works.

    Searched the forum but got no results. Have attached an example Im trying to do. If someone could show me it would be great.

    Or even show me a similar example worked out.

    Thanks in advance
     

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    Last edited: May 14, 2010
  2. jcsd
  3. May 15, 2010 #2

    LCKurtz

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    Do you have this equation to work with:

    [tex]u(x,t)=\frac{f(x-ct)+f(x+ct)}{2}+\frac 1 {2c}\int_{x-ct}^{x+ct}v_0(s)\,ds[/tex]

    to work with or are you expected to derive it?
     
  4. May 15, 2010 #3
    Yes I have this equation. Does the integral go to a constant. ITs after this i dont know what to do
     
  5. May 15, 2010 #4

    LCKurtz

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    Think about this:

    [tex]\int_a^b 0\ dt = c|_a^b = c - c = 0[/tex]
     
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