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Math Help - Help on Heaviside

  1. #1
    Newbie
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    Mar 2011
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    Help on Heaviside

    Hi, I am pretty lost on trying to solve this problem.

    y'' + y' = H(t-2), y(0)=1, y'(0)=0

    I know the first part is to do the Laplace on the left side of the equation

    s2Y-s+sY-1

    Y(s2+s)-s-1 = H(t-2)

    I don't know what to do after. Can someone please help explain what to do....

    The answer choices are

    A)
    B)
    C)
    D)


    Thanks
    Last edited by JC05; April 27th 2014 at 09:30 AM.
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  2. #2
    MHF Contributor
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    Re: Help on Heaviside

    just take the Laplace transform of $H(t-2)$

    You should know that

    $\mathscr{L} \{H(t) \} = \dfrac 1 s$ and that

    $\mathscr{L} \{ f(t-t_0) \} = e^{-s t_0} F(s)$

    given these the transform of $H(t-2)$ should be pretty trivial to compute.
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