QUESTION 2 (a) The second-order Runge-Kutta method to solve the equation dx dy = f(x, y), y(TO) = yo at the equidistant points :1, 12, . .. is given by the equations Un+1 = yn taki + bke, ki = hf(In, yn), k2 = hf(In + oh, Un + BK1), where h = Ti+1 -Ti. Apply the second-order Runge-Kutta method with a = 2/3, b = 1/3, a = 8 = 3/2 and At = 1 to find y(1) and y(2), if y(t), t > 0 satisfies the differential equation y' =1ty+t, y(0) =1. (7)