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.
Also see
Sources
- 1926: E.L. Ince: Ordinary Differential Equations ... (previous) ... (next): Chapter $\text I$: Introductory: $\S 1.1$ Definitions
- 1960: D.R. Bland: Vibrating Strings ... (previous) ... (next): Chapter $1$: Strings of Finite Length: $1.1$ Introduction
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 2.10$: Linear Equations
- 1977: A.J.M. Spencer: Engineering Mathematics: Volume $\text { I }$ ... (previous) ... (next): Chapter $1$ Ordinary Differential Equations: $1.1$ Introduction: Classification of Differential Equations