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Math Help - Inverse Laplace Transform of the following fuction

  1. #1
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    Inverse Laplace Transform of the following fuction

    So the question is: Solve the initial value problem using the method of Laplace transforms:
    y'' + 2y' +10y = g(t)
    where g(t) = { 10, 0<=t<=10
    { 20, 10<t<20
    { 0, 20< t
    so i got it to Y(s) =



    now after this if someone can help me take the inverse laplace transform of Y(s) so i can get y(t) ... btw its urgent my hwk is due today
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kaboose786 View Post
    So the question is: Solve the initial value problem using the method of Laplace transforms:
    y'' + 2y' +10y = g(t)
    where g(t) = { 10, 0<=t<=10
    { 20, 10<t<20
    { 0, 20< t
    so i got it to Y(s) =



    now after this if someone can help me take the inverse laplace transform of Y(s) so i can get y(t) ... btw its urgent my hwk is due today
    You need to know that:

    \mathcal{L}^{-1} e^{-as}F(s)=f(t-a)u(t-a)

    Then the rest should be doable with partial fractions and table lookup

    CB
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