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(Solved): a. Obtain the transfer functions X(s)/F(s) and X(s)/G(s) for the following model. x=4x+2y+f(t ...



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) \q

a. Obtain the transfer functions and for the following model. Compute , and for the model. c. If , estimate how long it will take for the response and to disappear for arbitrary initial conditions. Will the responses and oscillate? If so, compute the radian oscillation frequency, and estimate how long it will take for the oscillations to disappear.


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