Consider the differential equation y" +9 y = 6 (t) + 5 (t – 2) for a system that is initially quiescent (y (0) =0, y' (0) = 0)- (a) What is the transfer function? (b) What is the solution to this DE? O (H (t – 2) sin (3 t – 6) + sin (3 t)H (t)) O (H (t – 2) sin (t – 2) + sin (t)H (t)) – sin (3 t) O (H (t – 2) sin (t – 2) + sin (3 t)H (t)) O (3 H (t – 2) sin (t - 2) + sin (t)H (t)) – sin (3 t)

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