please show graphs with matlab code

3 Experiment - Matlab 3.1 Transfer Function I. The following differential equation describes the system with input r(t) and output y(t): y(4) + 20y(3) + 60y', + 80y, + 48y = 8r" + 72r, +48r a. Use Laplace transform of both sides of the equation to obtain the transfer function Y(s)/R(s suming zero initial conditions) tranfor a otem nspaue c. Use Matlab to plot the transfer function Y (s)/R(s) and the system response h(t). d. Find the roots (zeros, poles) of the transfer function using Matlab. 2. Consider the system whose differential equation is as follows. y(3) -3'9y'7y 6.6r' +4.4r Do same work as Problem 1.(a) to (d)