Write a MatLab .m le to implement this algorithm to solve an autonomous rst order system of equations. The vectors f and y0, the step size h and the number of steps should be inputs to the function.

Consider an autonomous system of n coupled first order differential equations. These equations will be of the form dy = f(y) y(zo)-Yo, where y = (y1,Y2, . . . ,%) and f-Un f2: . . . , fr.) An efficient way to solve this system (compute ynti at x-nh), using the explicit five stage Runge-Kutta scheme is to recast the scheme in autonomous vector form y,+,-yn + (ki + 2k2 + 3k3 + 2k, + ks) for n = 0, 1, 2