Consider the initial value problem: y' = (y - 0.01x2)2 sin(x2) + 0.02x; y(0) = 0.4 Solution: y = 1 / [2.5 - S(x)] + 0.01x2 where S(x) is the Fresnel integral S(a) = S sint2 dt C(x) S(x) Fig. 555. Fresnel integrals a. Solve the above ODE by RK4 method for O s x s 5 with step h = 0.15 b. Compute the errors for x = 1, 3, 5 C. Graph solution curves of the ODE above for various positive (x = 0.1, 0.2, 0.4, 0.6, ...) and negative (x = ..., -1.0, -0.8, -0.6, -0.4, -0.2) initial values