note: write a matlab script for all three equations and generate 3 different graphs, and KA=1.

Problem 2. For a unit step input and considering a system natural frequency of 20rad/sec, write a Matlab script that ask the user for the damping ratio of the second-order system and then plot the corresponding time response of the system. The time span of the plot is one second, make sure to title, grid, label the x-axis and y-axis of your plot. Use your script file to plot the time response for damping ratios of =0,=0.5,=1, and =1.5. 2. Time Response of a Second-order System We know that the time response of a second-order system to a step input is given by: y(t)=KAKAent[12sin(nt12)+cos(nt12)]y(t)=KAKA(1+nt)enty(t)=KAKA[2211(21e(21)nt+21e(+21)nt)]01 where KA is the step input magnitude, is the system damping ratio, and n is the system natural frequency