Consider the following initial value problem: Edit y" + 4y' + 20y = d(t – 1); y(0) = 1, y'(0) = 0 a) Find the solution y(t). NOTE: Denote the Heaviside function by Uc(t) where ue(t) = 1 if t >c and 0 otherwise. Indicate separately the value of c. y(t) = U(t) e 26¬) sin(4 t – 1) + e¯ª cos(4 t) where c = T

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