View source for Order of Differential Equations

==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:
* <math> y'' + xy' - x^3y = \sin{x} </math> is second order (or "of order 2").
* <math> x't + x = t^2 </math> is first order.
* <math> y''' + 3y'' + 3y' + y = x^2 </math> is of order 3.

==Resources==
* [https://courses.lumenlearning.com/boundless-calculus/chapter/differential-equations/ Differential Equations], Lumen Learning
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