a) Runge-Kutta method can be stated in the form: n Vi+1 = yith > cjk; j= 1 where k1 = f(x ,y;), kj = f(xi + pjh, vi+ Eliajhk,), for j>1 Show that the 2nd order Runge-Kutta method with c1=1/2, c2=1/2, p2=1 and a21=1 is the same as Heun's method. b) Find the solution of the problem y' = 2ty2 with y(0)=1 over the interval 0