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Solving Ordinary Differential Equations with MATLAB

Description

  • Introduction: Familiarize yourself with ordinary differential equations and the course.
  • What is an Ordinary Differential Equation?: Introduce ordinary differential equations and their solutions.
  • Solving ODEs Numerically: Solve first order ODEs numerically using the ode45 function.
  • Solving Systems of ODEs Numerically: Solve systems of first order ODEs numerically.
  • Solving Higher-Order ODEs Numerically: Solve higher-order ODEs numerically.
  • Next Steps: Give feedback on the course.

Tags

Syllabus

  • Course Overview
  • Course Example - The Shuttle Launch
  • Introducing the Differential Equation
  • Solutions to Differential Equations
  • Using MATLAB ODE Solvers
  • Writing ODE Functions
  • Obtaining a General Solution Structure
  • Review - Solving ODEs Numerically
  • 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
  • Identifying Higher-Order ODEs
  • Writing Higher-Order ODEs as First-Order Systems
  • Solving Higher-Order ODEs with ode45
  • Review - Solving Higher-Order ODEs Numerically
  • Additional Resources
  • Survey

Online Courses

MATLAB Academy

Solving Ordinary Differential Equations with MATLAB

Affiliate notice

  • Type
    Online Courses
  • Provider
    MATLAB Academy

  • Introduction: Familiarize yourself with ordinary differential equations and the course.
  • What is an Ordinary Differential Equation?: Introduce ordinary differential equations and their solutions.
  • Solving ODEs Numerically: Solve first order ODEs numerically using the ode45 function.
  • Solving Systems of ODEs Numerically: Solve systems of first order ODEs numerically.
  • Solving Higher-Order ODEs Numerically: Solve higher-order ODEs numerically.
  • Next Steps: Give feedback on the course.

  • Course Overview
  • Course Example - The Shuttle Launch
  • Introducing the Differential Equation
  • Solutions to Differential Equations
  • Using MATLAB ODE Solvers
  • Writing ODE Functions
  • Obtaining a General Solution Structure
  • Review - Solving ODEs Numerically
  • 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
  • Identifying Higher-Order ODEs
  • Writing Higher-Order ODEs as First-Order Systems
  • Solving Higher-Order ODEs with ode45
  • Review - Solving Higher-Order ODEs Numerically
  • Additional Resources
  • Survey

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