Ordinary Differential Equations

• See also Differential equations/Ordinary Differential Equations

Contents

• /Basic Concepts/
  • What is a differential equation?
  • Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs)
  • Order of an ODE
  • Linear and Non-linear ODEs
• /ODEs as Models/
• /Verifying Solutions to ODEs/
• /Initial Value Problems (IVP)/
• First Order ODEs
  • /Direction Fields/
  • /Separable Equations/
  • /Method of Integrating Factors/
  • /Exact Equations/
  • /Euler's Method/
  • /The Existence and Uniqueness Theorem/
• Second Order ODEs
  • /Solving Constant Coefficient Second Order Homegenous ODEs/ $a{y}^{″}+b{y}^{\prime }+cy=0$