# Definition:Differential Equation/Order

< Definition:Differential Equation(Redirected from Definition:Order of Differential Equation)

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## Definition

The **order** of a **differential equation** is defined as being the order of the highest order derivative that is present in the equation.

## Also known as

Some sources refer to the **order** of a differential equation as its **dimension**.

## Sources

- 1926: E.L. Ince:
*Ordinary Differential Equations*... (previous) ... (next): Chapter $\text I$: Introductory: $\S 1.1$ Definitions - 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 1.1$: Introduction - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**differential equation**