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Elementary Laplace

  1. Oct 21, 2008 #1

    1. The problem statement, all variables and given/known data
    L[f] = (s)^(1/2)

    3. The attempt at a solution
    Is there actually an elementary laplace transform that can compute this? I tried using derivative to solve for it, but i'll always be stuck with a fractional exponent.

  2. jcsd
  3. Oct 22, 2008 #2
    The best thing I could think of is using the convolution rule, i.e. (F(s)G(s) = f(t)*g(t)) where * is convolution. Let F(s)=G(s)=s^(1/2), then F(s)G(s) = s. Can you do the laplace transform of s?
  4. Oct 22, 2008 #3
    Oh, our class hasn't got to that section yet. Maybe I'll be able to solve it tomorrow then. Thanks.
  5. Oct 22, 2008 #4
    I think i might have just thought of something. Would it work if i first took the derivative. Then used the gamma function to compute the inverse laplace transform?
  6. Oct 22, 2008 #5
    The gamma function isn't in a form that is immediately obvious to me to see how it relates to what you have to evaluate.
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