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Math Help - Need good source for solving Inverse Laplace complex roots

  1. #1
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    Need good source for solving Inverse Laplace complex roots

    Hi,
    I need to convert this to the time domain. I managed to find some examples with complex roots but they were very different.
    Can anyone give me some hints or maybe a good source or book that explains these types?


    L = \frac{5s}{2s^2+18}
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  2. #2
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    Re: Need good source for solving Inverse Laplace complex roots

    Quote Originally Posted by trojsi View Post
    Hi,
    I need to convert this to the time domain. I managed to find some examples with complex roots but they were very different.
    Can anyone give me some hints or maybe a good source or book that explains these types?


    L = \frac{5s}{2s^2+18}
    \displaystyle \begin{align*} \mathcal{L}^{-1}\left\{\frac{5s}{2s^2 + 18}\right\} &= \frac{5}{2}\,\mathcal{L}^{-1}\left\{ \frac{s}{s^2 + 9} \right\} \\ &= \frac{5}{2}\,\mathcal{L}^{-1}\left\{ \frac{s}{s^2 + 3^2} \right\} \end{align*}

    You should be able to find this inverse laplace transform in your tables
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