To be completed using Matlab code

Consider the mechanical system depicted in the figure. The input is given by f(t), and the output is given by y(t). Determine the differential equation governing the system and using MATLAB, write a m-file and plot the system response such that forcing function f(t)=1. Let m=10,k=1 and b=0.5. Show that the peak amplitude of the output is about 1.8