Order of the Differential Equations

The order of the highest ordered derivative involved in a differential equation is called the order of the differential equation.

It may also be defined as the order of a differential equation is the degree of the highest order derivative that occurs in the equation.

Examples:

  • The order of the differential equation \frac{{dy}}{{dx}} = y{e^x} is one.

  • The order of the differential equation \frac{{{d^2}y}}{{d{x^2}}} + y = \sin x is two.