Question: Consider the initial value problem ay + by + cy=f(t), y(0) = y(0)=0, t> 0. Suppose that the transfer function of this system is

Consider the initial value problem ay" + by + cy=f(t), y(0) =

Consider the initial value problem ay" + by + cy=f(t), y(0) = y(0)=0, t> 0. Suppose that the transfer function of this system is given by (s) = 2+5+2 (a) What are the constants a, b, and c? (b) If f(t)=e, determine F(s), Y(s), and y(t).

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