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Math Help - Inverse laplace transform

  1. #1
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    Inverse laplace transform

    I've been aske dto inv lap trans the following:

    s/(S^2 + 4s + 3)

    I've gotten to

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

    which I think is right but I'm not really sure where to go from here.

    Anyone help?
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  2. #2
    Eater of Worlds
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    Try a partial fraction:

    \frac{3}{2(s+3)}-\frac{1}{2(s+1)}

    Then we get a ilaplace of:

    \frac{3}{2}e^{-3t}-\frac{1}{2}e^{-t}
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  3. #3
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    Thanks Galactacus. I've just realised I've been a right eejit. Thanks for pointing out the obvious!
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