Find the Laplace transforms of the following functions. (Be sure to specify the values of s for which each Laplace transform exists) (a) f(t) = e^{2t} + 3t (b) g(t) = e^{-2t} sin 2t + t^2e^{3t} (c) h(t) = { e^{-t} if 0 <= t <= 5 { -1 if t > 5
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The Laplace transform of $e^{2t}$ is $\frac{1}{s-2}$, and the Laplace transform of $3t$ is $\frac{3}{s^2}$. Show more…
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