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Math Help - Initial Value Problem 3rd order DE - using laplace

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    Initial Value Problem 3rd order DE - using laplace

    y''' = \begin{cases} t & t < 3 \\ 0 & t \geq 3 \end{cases}

    with y(0) = 0, y'(0) = 0, y''(0) = 0. Solve using Laplace Transforms.
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    Quote Originally Posted by RoyalFlush View Post
    y''' = \begin{cases} t & t < 3 \\ 0 & t \geq 3 \end{cases}

    with y(0) = 0, y'(0) = 0, y''(0) = 0. Solve using Laplace Transforms.
    You could start by noting that y''' = H(3 - t) \cdot t where H(t) is the Heaviside function. Now take Laplace transforms in the usual way.

    If you need more help, please post what you've done and where you get stuck.
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