1. Determine h(t) and use it to find yzs(t) = f(t) h(t) for the system described by the

second-order linear differential equation

ÿ(t) + 3y(t) + 2y(t) = f(t) + 2f (t)

with f(t) = 4 cos(t) u(t). Also, determine yzi(t) if y(0) = 1 and y(0) = 0.

Ans. Yzi (t) = (-e-²t + 2e-¹)u(t), yzs(t) = [2√2 cos (t-1)-2e-¹]u(t)