MATLAB and Simulink Training

Solving Ordinary Differential Equations with MATLAB

Ordinary Differential Equations

Use MATLAB® to numerically solve ordinary differential equations.

Prerequisites: MATLAB Onramp

Details and launch

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

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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
Details and launch

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