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Math Help - Factorization

  1. #1
    Junior Member Pinsky's Avatar
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    Factorization

    Hy!

    Can someone give me a hint how to factorise

    \frac{s^2}{(s^2+1)^2}=

    , im supposed to do an inverse Laplace transformation...
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  2. #2
    Lord of certain Rings
    Isomorphism's Avatar
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    Quote Originally Posted by Pinsky View Post
    Hy!

    Can someone give me a hint how to factorise

    \frac{s^2}{(s^2+1)^2}=

    , im supposed to do an inverse Laplace transformation...
    \mathcal{L}^{-1}\left(\frac{s}{(s^2+1)}\right) = \cos t \, u(t)

    \Rightarrow \mathcal{L}^{-1}\left(\frac{s}{(s^2+1)}\right)^2 = \cos t \, u(t) * \cos t \, u(t)
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Pinsky View Post
    Hy!

    Can someone give me a hint how to factorise

    \frac{s^2}{(s^2+1)^2}=

    , im supposed to do an inverse Laplace transformation...
    Don't you have a table of Laplace Transforms? You can just look it up its a standard form.

    RonL
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