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Math Help - Laplace transform of a product of functions

  1. #1
    MHF Contributor alexmahone's Avatar
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    Laplace transform of a product of functions

    Use the "Table of Laplace transforms" to find the Laplace transform of the function. A preliminary integration by parts may be necessary.

    f(t)=te^t
    Last edited by alexmahone; November 13th 2011 at 06:57 AM.
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  2. #2
    MHF Contributor chisigma's Avatar
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    Re: Laplace transform of a product of functions

    Quote Originally Posted by alexmahone View Post
    Use the "Table of Laplace transforms" to find the Laplace transform of the function. A preliminary integration by parts may be necessary.

    f(t)=te^t
    In this particular case if \mathcad{L} \{f(t)\} = F(s), then \mathcad{L} \{t\ f(t)\} = - \frac{d}{d s} F(s). The more general case \mathcad{L} \{f(t)\ g(t)\} requires the solution of an integral in the complex plane...

    Kind regards

    \chi \sigma
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