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Thread: Inverse Laplace transform

  1. August 31st 2008, 01:42 AM #1
    000
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    Inverse Laplace transform

    can anyone tell me the inverse laplace transform of a constant???
    Asap... urgently required....
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  2. August 31st 2008, 02:54 AM #2
    mr fantastic
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    Quote Originally Posted by 000 View Post
    can anyone tell me the inverse laplace transform of a constant???
    Asap... urgently required....
    LT^{-1}[1] = \delta (t) where \delta (t) is the Dirac delta function.
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  3. August 31st 2008, 06:49 AM #3
    000
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    can u tell me how that happened???
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  4. August 31st 2008, 08:51 AM #4
    CaptainBlack
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    Quote Originally Posted by 000 View Post
    can u tell me how that happened???
    Because:

    (\mathcal{L}\ \delta)(s)=\int_0^{\infty} \delta(t)e^{-st}\ dt=\left. e^{-st}\right|_{t=0}=1

    (works better with the two-sided transform though)

    RonL
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