Using the model that is given below for the "quarter car model passive suspension system" in terms of displacement, x, with respect to time, convert the system of second-order ODEs into first-order system of ODEs in the form x' = f(t, x). wwwwwww Quarter car Monday, December 21, 2000 Car *x(t) m=4 Dashpot b=16 Wheel m-2 1x2(t) K2=4 Tire SPORTSGVRON Ground Hamping constant Maxik(x-x2)-b(x-x;) (Spring constant (stiffness coaft) fixed point Insert the values & rearrange 5x"= -2x1+22-4x+4x =- [x = 4x - 6x2+8x1_8x2 . Find the particular solution for f(0) = 0, fi(0) = 0, f (0) = -1, f'(0) = 0. You can use any of the analytical methods that you have learned. (40p) ii. Write a Matlab code for numerical solution of this ODE using RK4 method for a time span of [06]. Choose a proper step size. (40p) iii. Compare your results with the analytical solution in terms of Final Global Error (FGE). Plot each solution for each method (analytical & numerical) w.r.t. to time. (20p)