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Math Help - laplace function

  1. #1
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    laplace function

    I want to calculate the Laplace transformation L{e^-[(λt)^2]t}(s).????

    Thanks
    Katerina
    xx
    Last edited by paola; May 7th 2009 at 02:00 AM.
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  2. #2
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    Quote Originally Posted by paola View Post
    I want to calculate the Laplace of L{e^-[(λt)^2]t}(s).????

    Thanks
    Katerina
    xx
    Your notation is hard to understand

    I'm not sure if you mean L { te^-[(λt)^2] } or L { e^(-[(λt)^2]t) }

    or L{e^-[(λt)^2]t} = L{t e^-(2λt)}

    And it is called the Laplacer transform.

    And why is there an (s) ?

    I know that

    F(s) = L { f(t) }
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  3. #3
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    good note."Laplace transform"

    f(s)=L{ f(s)=L{te-((λt)^2)}
    does this make sense ????
    Katerina
    xx
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  4. #4
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    Quote Originally Posted by paola View Post
    good note."Laplace transform"

    f(s)=L{ f(s)=L{te-((λt)^2)}
    does this make sense ????
    Katerina
    xx
    LT[t f(t)] = -F'(s) where F(s) = LT[f(t)].

    Since f(t) = e^{-(\lambda t)^2} you should read this: Laplace Transform Of A Gaussian Function
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