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Math Help - Simple Laplace Transform

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    Simple Laplace Transform

    Why is it that the seemingly easy equations are always the ones to stump you?

    \frac{dy}{dx}=-y y=2 x=0 y0=2

    So y'=-y

    sL{y}-y0=-y/s

    sL{y}=(-y/s)+y0

    L{y}=(-y/s2)+(y0/s)

    I think I'm right so far, but I don't know what to do now, as I end up with:

    \frac{-2}{s{^2}}+\frac{2}{s}

    And as

    \frac{-2}{s{^2}} = \frac{A}{s} + \frac{B}{s}

    I end up with

    -2=As+Bs

    and can't see my next (any) move from there.

    Please tell me I've made a stupid mistake I'm not aware of earlier in the equation. Any help is much appreciated.
    Last edited by AngusBurger; May 1st 2012 at 12:22 PM.
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