it is MATLAB code. part 2 and 3 suppose to be on one script. ODE means ordinary differential equations.

For part 2 and part 3, turn in one script named euler_lab1e.m Your script should create two figures (one for part 2 and one for part 3) Please start your script with the line clear all; clc; close all; You may want to clear variables between the two parts. You can do this by including clear vars o visually You may want to separate the two parts into separate sections to make it easier for you t separate them. You can do this by typing at the top of the section ?? Part 2- Using different step sizes when solving a first order ODE using explicit Euler We will solve the following ODE using the Explicit Euler method dy() 0.5y(t) y(0) 1 0 St s 40 The exact solution to this ODE is y(t)St - Using a step size of 0.1, plot the exact solution versus t with a solid black line 'k Solve the above ODE using the explicit Euler method with a step size of h 4.2 Plot this solution versus t with a red line and circles'?? Solve the above ODE using the explicit Euler method with a step size of h 3.0 Plot this solution versus t with a green line with trianglesg Solve the above ODE using the explicit Euler method with a step size of h - 1.0o Plot this solution versus t with a blue line and stars -b Use a linewidth of 1.5 or 2 for all of the lines Your plot should have a legend, axis labels, and title