(35 points) Problem 2: Use the Euler's and classical RK-4 methods to solve the following differential equation: 3x2y" - * + y = 0; y(1) = 4, y'(1) =2 On the interval [1,2] with h = 0.2. (A) [10 points] Solve it to get a true solution using the following substitution method: y = VX (B) [5 points] Cast this DE into an autonomous system of first order differential equations using y1, y2, etc. Provide the IVPs in that form as well. (C) [10 points] Fill out the following table for Euler's method. Show your work for full credit. X Y1 Y2 Exact 1.0 4.00 2.00 4.00 1.2 1.4 1.6 (D) [10 points] Fill out the initial step for the RK-4 method. Show your work for full credit. X K11 K12 K21 K22 K31 K32 K41 K42 Y1 Y2 1.0 4.00 2.00 1.2