Using Matlab, what is the solution to the system motion x(t) to the following set of equations and plot the motion of the system for 5 seconds with sufficient resolution so you can see a smooth shape of the motion in your plot. What is the system natural frequency? Discuss what type of system this is and how you can tune the parameters to achieve a maximum amplitude of 0.1 and a period of oscillation within the range of 0.5 to 1.75 seconds. State the values of the parameters you used, the solution to the system motion, the natural frequency, and period of oscillation. Plot the solution that illustrates your tuned system. 3x + 27x =0, xo= , xo=1