Initial Value Problem 3rd order DE - using laplace

**RoyalFlush** · August 29th 2009, 09:37 PM

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

with $y(0) = 0, y'(0) = 0, y''(0) = 0$ . Solve using Laplace Transforms.

**mr fantastic** · August 30th 2009, 03:10 AM

Originally Posted by RoyalFlush

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

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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