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Inverse laplace transform

  1. Feb 2, 2013 #1
    1. The problem statement, all variables and given/known data

    find the inverse laplace transformation of [itex]\frac{5s+4}{s^2}[/itex] e[itex]^{-2s}[/itex]

    2. Relevant equations


    3. The attempt at a solution

    I have tried to partial fractions [itex]\frac{5s+4}{s^2}[/itex] and I got [itex]\frac{5}{s}[/itex]+[itex]\frac{4}{s^2}[/itex] and I know that the answer must have u(t-2) because of second shifting ( a=2)

    but I looked at the answer from this question is 5 u(t-2)(e[itex]^{4(t-2)}[/itex] - e[itex]^{-(t-2)}[/itex]).

    I dont know how to get that answer please help
     
  2. jcsd
  3. Feb 3, 2013 #2

    vela

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    The answer is wrong.
     
  4. Feb 3, 2013 #3
    so my answer is [5+4(t-2)] u(t-2) Is my answer right?
    thank you
     
  5. Feb 3, 2013 #4

    Ray Vickson

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    First: what is the inverse Laplace transform of ##(5s+4)/s^2##? Next: worry about the effect of the factor ##e^{-2s}##.
     
  6. Feb 3, 2013 #5

    vela

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    Yes, that's correct.
     
  7. Feb 4, 2013 #6
    Thanks you all
     
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