Online Test Banks
Score higher
See Online Test Banks
Learning anything is easy
Browse Online Courses
Mobile Apps
Learning on the go
Explore Mobile Apps
Dummies Store
Shop for books and more
Start Shopping

Classifying Differential Equations by Order

Part of the Differential Equations For Dummies Cheat Sheet

The most common classification of differential equations is based on order. The order of a differential equation simply is the order of its highest derivative. You can have first-, second-, and higher-order differential equations.

First-order differential equations involve derivatives of the first order, such as in this example:


Second-order differential equations involve derivatives of the second order, such as in these examples:


Higher-order differential equations are those involving derivatives higher than the second order (big surprise on that clever name!). Differential equations of all orders can use the y' notation, like this:

  • Add a Comment
  • Print
  • Share
blog comments powered by Disqus

Inside Sweepstakes

Win an iPad Mini. Enter to win now!