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Differential EquationsHardLaplace II: Steps, Impulses & Convolution

Laplace II: Steps, Impulses & Convolution · Hard problem

Find the inverse Laplace transform f(t)f(t) of F(s)=1(s−(2))(s+(2))F(s) = \dfrac{1}{(s - (2))(s + (2))}. Give f(t)f(t) in the form Ae2t+Be−2tAe^{2t} + Be^{-2t} and state AA and BB.