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Math Help - calculus 2 laplace transform problem

  1. #1
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    calculus 2 laplace transform problem

    Can anyone help me with this?




    I plug in f(t) to the laplace Transform formula, and integrate..

    getting: lim t->infinity e^((t*(a-s))/(s-a) - 1

    not sure what to do after that
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  2. #2
    Grand Panjandrum
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    let f(x)=e^{at}, then:

    <br />
\left(\mathcal{L}f\right) (s) = \int_0^{\infty} f(x) e^{-st} \ dt=\int_0^{\infty}e^{-(s-a)t}\ dt = \frac{1}{s-a}\ \ , s>a<br />

    Now put a=-2, so we have:

    <br />
\left( \mathcal{L}f \right) (s) = \frac{1}{s+2}<br />

    RonL
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