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Homework Help: Inverse Laplace Transformation

  1. Apr 27, 2015 #1


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    1. The problem statement, all variables and given/known data

    Solve the following:

    $$\mathscr{L}_s^{-1} \left\{ \frac{s}{s^2-s+\frac{17}{4}} \right\}$$

    2. Relevant equations

    Table of Laplace Transforms.

    3. The attempt at a solution

    The solution is
    $$f(t) = (1/4 )e^{t/2} (\sin(2 t)+4 \cos(2 t))$$

    I know I need to break up ##F(s)## into more common Laplace transforms, but I'm not quite sure how to begin.
  2. jcsd
  3. Apr 27, 2015 #2


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    Science Advisor
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    Gold Member

    Hint: Begin by completing the square in the denominator.
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