Ordinary Differential Equations Question!!!

dy Approximate the solution to the IVP = f(x, y) = 2+4x -3x2 at y(0) = 1 * = 2 using N equal steps of the Backward Euler method yit1 = yi + hf(Ci+1, yi+1). Your answer, ya, should be an explicit function of N. Then find the true solution y(x) and show that lim yN = y(2). N-+Do