An ode object defines a system of ordinary differential equations or differential algebraic equations to solve.

The Ordinary Differential Equation (ODE) solvers in MATLAB ® solve initial value problems with a variety of properties. The solvers can work on stiff or nonstiff problems, problems with a mass matrix, …

Choose an ODE Solver Ordinary Differential Equations An ordinary differential equation (ODE) contains one or more derivatives of a dependent variable, y, with respect to a single independent variable, t, …

This MATLAB function, where tspan = [t0 tf], integrates the system of differential equations y'=f(t,y) from t0 to tf with initial conditions y0.

Solve a differential equation analytically by using the dsolve function, with or without initial conditions.

This example shows how to use MATLAB® to formulate and solve several different types of differential equations.

Usage of odeset and table indicating which options work with each ODE solver.

The Solve ODE task lets you interactively solve a system of ordinary differential equations. The task automatically generates MATLAB ® code for your script.

This MATLAB function, where tspan = [t0 tf], integrates the system of differential equations f(t,y,y')=0 from t0 to tf with initial conditions y0 and yp0.

This MATLAB function computes the solution for the ODE represented by F at the specified time values in the vector t.