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Math Help - Finding Inverse Laplace Transform Question?

  1. #1
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    Finding Inverse Laplace Transform Question?

    Hi

    The following questions i don't understand how to solve:

    \mathcal{L}^{-1} [\frac{e^{-3s}}{s-3}]

    \mathcal{L}^{-1} [\frac{e^{\pi s}}{s^2+2s+2}]

    P.S
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  2. #2
    Ted
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    \mathcal{L}^{-1} \left[ F(s) \cdot e^{-cs} \right] = f(t-c) \, \alpha(t-c) where f(t)=\mathcal{L}^{-1} [ F(s) ] and \alpha is the unit step function.
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  3. #3
    MHF Contributor matheagle's Avatar
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    In the second one, you need to complete the square

    (S+1)^2 +1
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  4. #4
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    Quote Originally Posted by Ted View Post
    \mathcal{L}^{-1} \left[ F(s) \cdot e^{-cs} \right] = f(t-c) \, \alpha(t-c) where f(t)=\mathcal{L}^{-1} [ F(s) ] and \alpha is the unit step function.
    So is  \mathcal{L}^{-1}[F(s)] = \mathcal{L}^{-1}[\frac{1}{s-3}]= e^{3t}

    where t = (t-3)
    =e^{(t-3)}H_3 (t)
    Last edited by Paymemoney; April 9th 2011 at 02:58 AM.
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