Using Matlab

a. Obtain the transfer functions X (s)/F(s) and Y(s)/F(s) for the following model: 4x = y y = f(t) - 3y - 12x b. Computer, 5.0, and for the model. c. If f(1) = u(1), will the responses x (1) and y(t) oscillate? If so, compute the radian oscillation frequency, and estimate how long it will take for the oscillations to disappear. d. Suppose that ) = u, (l) and x(0) = f(0) = 0. Obtain X(t) and y(1). a. Obtain the transfer functions X (s)/F(s) and Y(s)/F(s) for the following model: 4x = y y = f(t) - 3y - 12x b. Computer, 5.0, and for the model. c. If f(1) = u(1), will the responses x (1) and y(t) oscillate? If so, compute the radian oscillation frequency, and estimate how long it will take for the oscillations to disappear. d. Suppose that ) = u, (l) and x(0) = f(0) = 0. Obtain X(t) and y(1)