numerical methods problem

Please solve using MATLAB programming software

Problem 4 (45 points). Let's compare several methods for the numerical solution of an initial value problem using the ordinary differential equation (ODE) dy 2ty With an initialvalue of y(0)-0.25. a) Solve the ODE analytically. b) Write script files to integrate the ODE using 1. the explicit Euler method 2. the implicit Euler method 3. the explicit 2d-order Adams-Bashford method 4. The 2nd-order Adams-Bashford-Moulton predictor corrector method Make a plot of y(t) versus t (go out tot 20) using the exact solution and the four others produced by numerical integration for a time step of 1-02. How do the methods compare