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a. Obtain the transfer functions $X(s)/F(s)$ and $X(s)/G(s)$ for the following model. $x?=?4x+2y+f(t)y??=?9y?5x+g(t)$ Compute $?,?,?_{n}$, and $?_{d}$ for the model. c. If $f(t)=g(t)=0$, estimate how long it will take for the response $x(t)$ and $y(t)$ to disappear for arbitrary initial conditions. Will the responses $x(t)$ and $y(t)$ oscillate? If so, compute the radian oscillation frequency, and estimate how long it will take for the oscillations to disappear.

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