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Math Help - Inverse Laplace Transform: 1/Sqrt[s-a]

  1. #1
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    Inverse Laplace Transform: 1/Sqrt[s-a]

    How do I find the inverse Laplace transform of 1/Sqrt[s-a] ?

    I'm completely stuck on this problem because I'm not even sure what transformation properties I should use to begin with.

    Thanks.
    Last edited by dadads; June 22nd 2008 at 12:30 PM. Reason: Title revision
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  2. #2
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    Quote Originally Posted by dadads View Post
    How do I find the inverse Laplace transform of 1/Sqrt[s-a] ?

    I'm completely stuck on this problem because I'm not even sure what transformation properties I should use to begin with.

    Thanks.
    You look it up in a table of standard forms:

    \mathcal{L} \left(\frac{t^{n-1}e^{at}}{\Gamma (n)} \right) = \frac{1}{(s-a)^n}, \ n>0

    RonL
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