Learn the basics of solving ordinary differential equations in MATLABĀ®. Use MATLABĀ® 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

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