Question: A dynamic system is modeled by the differential equation (t) + 5(t) + 6y(t) = 3u(t) + 3au(t) Suppose that all initial conditions on

A dynamic system is modeled by the differential equation (t) + 5(t)

A dynamic system is modeled by the differential equation (t) + 5(t) + 6y(t) = 3u(t) + 3au(t) Suppose that all initial conditions on the system are zero, and that for t>=0 the input is u(t) = 5e-bt If a=2.6 and b=4.85, what is the coefficient of e-2t in the solution for y(t)?

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