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Help with Inverse Laplace Transform

  1. May 4, 2009 #1
    Hello,
    I know normally giving solutions is frowned upon, but I have lost my colleagues data sheets and desperately need this transform to continue my work.
    I am looking for the Inverse Laplace Transform of the Transfer Function:

    H(s) = 1 / (s^2 + 20s + 5K)

    where K is an as yet unknown constant, to be determined using this result.

    Any help with this would be muchly appreciated.
    Many Thanks
    Nickxx
     
  2. jcsd
  3. May 7, 2009 #2
    Try completing the square.
     
  4. May 11, 2009 #3
    h(t)=e^(-10t)*sin(sqrt(5k-100))
     
  5. May 11, 2009 #4
    I forgot the t in the sine function and it wouldn't let me edit my post:
    h(t)=e^(-10t)*sin(sqrt(5k-100)t)
     
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