- #1
Hiche
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Homework Statement
Homework Equations
Laplace's transforms.
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.