Solve using MATLAB

2. Consider the second-order Runge-Kutta method (or improved Euler's Method), which is given by vn+1=vn+2h(k1+k2), where k1=f(tn,vn),k2=f(tn+h,vn+hk1). (a) (7 pts) For the initial value problem considered in Problem 1, find a numerical solution v(t) at t=1 with h=0.01 and plot the numerical solution v(t) (solid line) along with the exact solution y(t) (dashed line) for 0t1. (b) (3 pts) Compute the error e2 defined by e2=maxv(t)y(t)(0t1) for h=0.01,0.005, and 0.0025, and make a table showing the variation of e2 with h. What is the difference between the two numerical methods