(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

Laplace's transforms.

3. The attempt at a solution

Okay, so applying the Laplace on both sides yields:

[itex]s^2Y(s) - sy(0) - y'(0) + 2sY(s) - 2y(0) + 10Y(s) = ? + 13 / s - 1[/itex]

Is [itex] e^{-2s} / s[/itex] the Laplace [itex]\delta(t - 2)[/itex]? Our instructor gave us the result of the Lapace but he did not prove it. The only thing he gave us was that the Laplace of [itex]f(t - a)\delta(t - a) = e^{-as}F(s)[/itex]. Can someone point me on how to prove this? It seems our instructor told us that we need to know the proof without him giving it to us. I know that this unit step function is defined to be 0 when 0 <= t < 2 and 1 when t >= 2.

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# Homework Help: Laplace D.E Problem

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