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Homework Help: Find the inverse laplace transform of this function

  1. Nov 25, 2011 #1
    1. The problem statement, all variables and given/known data
    F(s) = 3/(s(s^2 +2s + 5))

    2. Relevant equations

    3. The attempt at a solution
    I have used partial fraction using coefficients.

    F(s) = (3/5)s - (3/5) ((s+2)/(s^2 +2s + 5))
    and reduce s^2 +2s +5 by completing the square
    F(s) = (3/5)s - (3/5) ((s+2)/((s+1)^2 + 4))
    I am having trouble finding the right inverse laplace for the second term since (s+2) must be equal to (s+1) to apply the inverse laplace formula in the table...what should i do ...
  2. jcsd
  3. Nov 25, 2011 #2


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    Use the fact that s+2 = (s+1)+1 and break that term into two terms.
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