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Laplace transform

  1. Oct 2, 2012 #1
    1. The problem statement, all variables and given/known data

    Find f(t) for:

    [itex]2\int_{0}^{t}f'(u)sin(9(t-u)du +5cos(9t), t\geq0[/itex]

    3. The attempt at a solution

    [itex]F(s)=2\frac{9(sF(s)-f(0))}{s^2+81}+\frac{5s}{s^2+81}[/itex]

    At this point i don't know what to do with f(0) since there are no initial conditions.
    What do I do with it?
     
  2. jcsd
  3. Oct 2, 2012 #2

    vela

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    It's just a constant that'll appear in your final answer. You'll have a term proportional to f(0).
     
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