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Thread: Simple Laplace Transform

  1. #1
    Feb 2011

    Simple Laplace Transform

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

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

    So y'=-y




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

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

    And as

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

    I end up with


    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 11:22 AM.
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