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Inverse transform

  1. Oct 22, 2009 #1
    1. The problem statement, all variables and given/known data

    inverse laplace transform of 1/(√(S²+2S+5)

    2. Relevant equations

    i AM TOTALLY STUCK I CANT FIND ANYTHING IN THE TABLE OF TRANSFORMS MATHCING THIS.

    3. The attempt at a solution
     
  2. jcsd
  3. Oct 22, 2009 #2

    Dick

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    Homework Helper

    1/sqrt(s^2+1) is the transform of the bessel function J0. That's as near a match as you're likely to find. You'll have to do some scaling and shifting to get it to match your expression. Hint: s^2+2s+5=(s+1)^2+4.
     
  4. Oct 22, 2009 #3
    thanks, it was doing my head in. I apllied the bessel function with the shifting theorm for an exponential.
     
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