a. Obtain the transfer functions X(s)/F(s) and X(s)/G(s)

Chapter , Problem 2.36

(choose chapter or problem)

a. Obtain the transfer functions X(s)/F(s) and X(s)/G(s) for the following model:

\(\dot{x}=-4 x+2 y+f(t) \quad \dot{y}=-9 y-5 x+g(t)\)

b. Compute \(\tau, \zeta, \omega_{n}\), and \(\omega_{d}\) for the model.

c. If f (t) = g(t) = 0, estimate how long it will take for the responses x(t) and y(t) to disappear.

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