Consider the following initial-value problem. y' + 4y = f(t), y(0) = 0, where f(t) = {t, 0 <= t < 1 0, t >= 1 Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. F(s) = Use the Laplace transform to solve the given initial-value problem. y(t) =
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Consider the following initial-value problem. y' + 4y = f(t), y(0) = 0, where f(t) = {t, 0 <= t < 1 0, t >= 1 Write the function f(t) in terms of unit step functions. Find the Laplace transform of the given function. F(s) = Use the Laplace transform to solve the given initial-value problem. y(t) =
