# Definition:Parameter of Differential Equation

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## Definition

Let $f$ be a differential equation with 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 $f$.

## Historical Note

The term **parameter** was introduced by Gottfried Wilhelm von Leibniz.

## Sources

- 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 1.3$: Families of Curves. Orthogonal Trajectories