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Laplace transformation t^(3/2)

  1. Nov 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Just a quick question concerning a Laplace transformation...
    Find the Laplace transform of the following function:
    f(t)=10t3/2-e(-7t)


    2. Relevant equations



    3. The attempt at a solution
    I wasn't sure what to do with the t3/2 so I just followed the formula for t1/2 and I got this:

    (10pi(3/2))/(2s5/2)-(1/(s+7))

    Is there anything wrong with this?
     
  2. jcsd
  3. Nov 30, 2009 #2

    Mark44

    Staff: Mentor

    t1/2 and t3/2 are different functions, so it should be expected that their Laplace transforms would be different.
    L{tk - 1} = [itex]\Gamma[/itex](k)/sk, where [itex]\Gamma[/itex] represents the gamma function.

    [tex]\Gamma(z)~=~\int_0^{\infty} t^{z - 1}~e^{-t}dt[/tex]
    Hope that helps.
     
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