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Laplace Transform Question

  1. Dec 1, 2011 #1
    I'm working on a LaPlace transform problem. Part of it was this:

    [tex]-ty'[/tex]
    I elected to do this first:
    [tex](-1)\frac{d}{ds}L(y')[/tex]
    Which I then expanded to:
    [tex]-\frac{d}{ds}(-y(0)+sL(y))[/tex]
    By the given initial conditions y(0)=0
    [tex]-\frac{d}{ds}(sL(y))[/tex]
    So next I need to expand this out:
    [tex]-(L(y)+sL(y)')[/tex]
    Now I'm stuck with this because I'm not sure how to deal with the derivative of a laplace transform. Did I do this correctly, or is something wrong?
     
  2. jcsd
  3. Dec 2, 2011 #2

    I like Serena

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    Looks correct.
    So you got a differential equation... any reason to think you can't just solve it?
     
  4. Dec 2, 2011 #3
    Good point... I'll try that and see what I get.
     
  5. Dec 2, 2011 #4
    I managed to solve it, thanks for the tip.
     
  6. Dec 2, 2011 #5

    I like Serena

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    Cheers! :smile:
     
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