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Math Help - Laplace Transform problem

  1. #1
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    Question Laplace Transform problem

    Use the Laplace transform to solve the initial value problem.
    y''-2y'+2y=cos t, y(0)=1, y'(0)=0

    Ok, so after doing the Laplace of both sides I am getting that Y(s)=s-2+(s/s^2+1)/s^2-2s+2

    I am pretty sure that is correct but you may want to check me on that. Anyways, I am not sure what Y(s) becomes after this. Can someone help please?
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  2. #2
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    When you do the inverse LaPlace Transform of Y(s), you will have a y(t)
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