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Inverse Laplace Transforms Problem 2

  1. Jun 1, 2014 #1
    1. The problem statement, all variables and given/known data
    f(s) = 6/s^2-9


    2. Relevant equations
    I think
    f(t) = (1/b-a)(e^-at-e^-bt)


    3. The attempt at a solution
    Replace 6/s^2-9 with 6/(s-3)(s+3)
    a=-3
    b=3

    Plug in
    (1(6)/3-(-3))(e^-(-3)t-e^-3t)

    Final Result
    e^3t-e^-3t
     
  2. jcsd
  3. Jun 1, 2014 #2

    LCKurtz

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    It's easy enough for you to check it yourself. Take the transform of your answer and see it it gives what you started with.
     
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