ode45 is a program built into MATLAB that can be used to solve first order differential equations. The following code solves the IVP dy/dx = x^3 - 2y/x for 1 lessthanorequalto x lessthanorequalto 3 with y(1) = 4.2 % First order ODE solution using ode 45 with Anonymous Function Method % script name ode 45 solver.m clc; clear all; clf % use anonymous function odel = (x, y) (x^3 - 2*y)/x % call solver with anonymous function name % independent variable range and initial value of dependent variable [x, y] = ode 45 (odel, [1, 3], 4.2) % plotting segment plot (x, y, 'Linewidth' 2) xlabel ('x'), y label ('y'), grid on title ('Solution to ODE dy/dx = (x^3 - 2 y)/x')