Problem 1: Consider the IVP for the logistic equation (see slide 35 in part 1 of lecture notes) y, Ay-By2, y(0) = 1 with parameters A = 10 and B = 2. a. Find the accurate solution of the problem y(x) b. Develop MATLAB codes that solve this IVP numerically with the Euler and Runge-Kutta RK4 methods. c. Calculate solutions yn obtained with every method in the interval 0 s x 10 with the integration step sizes x=0.1. Plot two numerical solutions and accurate solution of the problem (3 plots total on a single figure)