Take the Laplace transform of the following initial value problem and solve for Y (s) = L{y(t)}: y" + 4y + 16y= T(t) where F T(t) = y(0) = 0, y'(0) = 0 is a periodic function defined by 0 < t < 1/2 t, 1-t, 1/2 ≤ t < 1' and T(t+1) = T(t) for all t≥0

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