Difference between revisions of "Order of Differential Equations"

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* [https://courses.lumenlearning.com/boundless-calculus/chapter/differential-equations/ Differential Equations], Lumen Learning
 
* [https://courses.lumenlearning.com/boundless-calculus/chapter/differential-equations/ Differential Equations], Lumen Learning
 
* [https://www.analyzemath.com/calculus/Differential_Equations/order_linearity.html Order and Linearity of Differential Equations], Analyze Math
 
* [https://www.analyzemath.com/calculus/Differential_Equations/order_linearity.html Order and Linearity of Differential Equations], Analyze Math
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== Licensing ==
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Content obtained and/or adapted from:
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* [https://en.wikipedia.org/wiki/Differential_equation Differential equation, Wikipedia] under a CC BY-SA license

Revision as of 22:28, 5 November 2021

Introduction

The order of a differential equation is determined by the highest-order derivative. The higher the order of the differential equation, the more arbitrary constants need to be added to the general solution. A first-order equation will have one, a second-order two, and so on. The degree of a differential equation, similarly, is determined by the highest exponent on any variables involved.

Examples:

  • is second order (or "of order 2").
  • is first order.
  • is of order 3.

Resources

Licensing

Content obtained and/or adapted from: