Solving Ordinary Differential Equations with MATLAB

These interactive lessons are available only to users with access to Online Training Suite.


 

Access to MATLAB through your web browser

 

Engaging video tutorials

 

Hands-on exercises with automated assessments and feedback

 

Lessons available in English and Japanese


Select a Lesson to Get Started


1.

Introduction

Familiarize yourself with ordinary differential equations and the course.


2.

What Is an Ordinary Differential Equation?

Get acquainted with ordinary differential equations and their solutions.

  • Course Example: The Shuttle Launch
  • Introducing the Differential Equation
  • Solutions to Differential Equations

3.

Solving ODEs Numerically

Solve first-order ODEs numerically using the ode45 function.

  • Using MATLAB ODE Solvers
  • Writing ODE Functions
  • Obtaining a General Solution Structure

4.

Solving Systems of ODEs Numerically

Set up and solve systems of first-order ODEs numerically.

  • Course Example: The SIR Model
  • Implementing a First-Order System of ODEs
  • Using ode45 to Solve Systems of ODEs

5.

Solving Higher-Order ODEs Numerically

Set up and solve higher-order ODEs numerically.

  • Identifying Higher-Order ODEs
  • Writing Higher-Order ODEs as a First-Order System
  • Solving Higher-Order ODEs with ode45

Related Courses

MATLAB Onramp

Get started quickly with the basics of MATLAB.

Simulink Onramp

Get started quickly with the basics of Simulink.

MATLAB Fundamentals

Learn core MATLAB functionality for data analysis, modeling, and programming.