1- Find the Laplace transform of the following functions (a)f(t) = (t^2 - 3)^2 (b) f(t) = sin^2 4t (c)f(t) = e^-t sinh 5t
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(a) For f(t) = (t^2 - 3)^2, we have: $$ \mathcal{L}\{f(t)\} = \mathcal{L}\{(t^2 - 3)^2\} = \int_0^\infty e^{-st}(t^2 - 3)^2 dt $$ Show more…
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