Ordinary Differential Equations

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* See also Differential equations/Ordinary Differential Equations

## Contents

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* 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
* Systems of ODEs
* The Existence and Uniqueness Theorem
* Second Order ODEs
* Solving Constant Coefficient Second Order Homegenous ODEs a y ″ + b y ′ + c y = 0 {\displaystyle ay''+by'+cy=0}
* Case with Complex Roots
* Case with Repeated Roots