Solving Ordinary Differential Equations with MATLAB

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Familiarize yourself with ordinary differential equations and the course.


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


Solving ODEs Numerically

Solve first-order ODEs numerically using the ode45 function.

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


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

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