Solving Ordinary Differential Equations with MATLAB
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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
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