Learn the basics of solving ordinary differential equations in MATLAB®. Use MATLAB® ODE solvers to find solutions to ordinary differential equations that describe phenomena ranging from population dynamics to the evolution of the universe.

Familiarize yourself with ordinary differential equations and the course.

Lessons:

- Course Overview

Introduce ordinary differential equations and their solutions.

Lessons:

- Course Example - The Shuttle Launch

- Introducing the Differential Equation

- Solutions to Differential Equations

Solve first order ODEs numerically using the `ode45`

function.

Lessons:

- Using MATLAB ODE Solvers

- Writing ODE Functions

- Obtaining a General Solution Structure

- Review - Solving ODEs Numerically

Solve systems of first order ODEs numerically.

Lessons:

- Course Example - The SIR Model

- Implementing a First-Order System of ODEs

- Using ode45 to Solve Systems of ODEs

- Review - Solving Systems of ODEs Numerically

Solve higher-order ODEs numerically.

Lessons:

- Identifying Higher-Order ODEs

- Writing Higher-Order ODEs as First-Order Systems

- Solving Higher-Order ODEs with ode45

- Review - Solving Higher-Order ODEs Numerically

Give feedback on the course.

Lessons:

- Additional Resources

- Survey

Format:Self-paced

Language:English

- Hands-on exercises with automated feedback
- Access to MATLAB through your web browser
- Shareable progress report and course certificate

Get started quickly with an introduction to symbolic math.

Use matrix methods to solve systems of linear equations and perform eigenvalue decomposition.

Use root finding methods to solve nonlinear equations.

Get started quickly with the basics of MATLAB.