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Math Help - whats the laplase transformation of this one..

  1. #1
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    whats the laplase transformation of this one..

    <br />
\frac{-2e^{-s}}{s^3}<br />

    i know that e ill make u function
    but i dont know the rest
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by transgalactic View Post
    <br />
\frac{-2e^{-s}}{s^3}<br />

    i know that e ill make u function
    but i dont know the rest
    Recall that \mathcal{L}^{-1}\left\{e^{-as}F\left(s\right)\right\}=u\left(t-a\right)f\left(t-a\right)

    So here, we see that -2e^{-s}{s^3}=-e^{-s}\frac{2!}{s^3}

    Therefore, \mathcal{L}^{-1}\left\{-e^{-s}\frac{2!}{s^3}\right\}=-u\left(t-1\right)\cdot\left(t-1\right)^2
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