Consider the following initial-value problem. y" 5y' = 8e4t4e-t, y(0) = 1, y'(0) = -1 Find L{f(t)}, for f(t) = 8e4t - 4e-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t) =

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