# Definition:Differential Equation/Linear

< Definition:Differential Equation(Redirected from Definition:Linear Differential Equation)

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## Definition

A **linear differential equation** is a **differential equation** where all dependent variables and their derivatives appear to the first power.

Neither are products of dependent variables allowed.

## 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): $\S 2.10$: Linear Equations