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Thread: Laplace Transform

  1. April 14th 2009, 04:12 PM #1
    leebatt
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    Laplace Transform

    How do you find the Laplace transform of t(u[t+4])? I know what to do if it is u(t-4).

    Thank you for your time
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  2. April 14th 2009, 06:35 PM #2
    mr fantastic
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    Quote Originally Posted by leebatt View Post
    How do you find the Laplace transform of t(u[t+4])? I know what to do if it is u(t-4).

    Thank you for your time
    LT \left[t^n f(t) \right] = (-1)^n \frac{d^n F(s)}{ds^n} where F(s) = LT[f(t)].

    In particular LT \left[t f(t) \right] = - \frac{d F(s)}{ds}.
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