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What's the inverse Laplace transform of this?

  1. Jan 8, 2012 #1
    1. The problem statement, all variables and given/known data

    [tex]L^{-1}\{\frac{1}{(s^2+4)^2}\}[/tex]


    2. Relevant equations



    3. The attempt at a solution
    I have no idea how to solve this. Any idea to being solving the problem would be appreciated.
     
  2. jcsd
  3. Jan 8, 2012 #2
    One way so solve it (propably not the simplest but an interesting one) would be to use the fact that F(s)G(s) (multiplication of the functions) in Laplace plane is f(t)*g(t) (convolution of the functions) in "time" plane.

    [tex]

    L^{-1}\left \{ \frac{1}{(s^2+4)^{2}} \right \} = L^{-1}\left \{ \frac{1}{(s^2+4)} \right \}*L^{-1}\left \{ \frac{1}{(s^2+4)} \right \}

    [/tex]


    ROM.
     
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