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Math Help - Inverse Laplace transform check

  1. #1
    Junior Member
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    Inverse Laplace transform check

    So i have to determine the inverse transform of

    -3s/((s+2)^2+1)

    Using linearity and s-shifting and know transform for cos(wt)

    I came out with

    -3*exp(-2t)*cost

    Is this correct?

    I am unsure about the 's' in the numerator, not also being 'shifted', should i be using partial fractions?
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  2. #2
    Junior Member
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    Re: Inverse Laplace transform check

    Its okay i solved it via a bit of algebraic manipulation.
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  3. #3
    A Plied Mathematician
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    Re: Inverse Laplace transform check

    Playing around with WolframAlpha is a good way to check your answer.
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