Definition:Parameter of Differential Equation
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Let $f$ be a differential equation with general solution $F$.
A parameter of $F$ is an arbitrary constant arising from the solving of a primitive during the course of obtaining the solution of $f$.
The term parameter was introduced by Gottfried Wilhelm von Leibniz.
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 3$: Families of Curves. Orthogonal Trajectories