# Definition:Differential Equation/Solution/Historical Note

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## Historical Note on Solution to Differential Equation

The original name for a **solution to a differential equation** that Jacob Bernoulli used in $1689$ was **integral**.

Leonhard Paul Euler used the term **particular integral** in his *Institutiones Calculi Integralis* of $1768$, but the latter term has more recently taken on a more precise definition.

The term **solution** was first used by Joseph Louis Lagrange in $1774$.

This terminology became established under the influence of Jules Henri PoincarĂ©.

## Sources

- 1926: E.L. Ince:
*Ordinary Differential Equations*... (previous) ... (next): Chapter $\text I$: Introductory: $\S 1.2$ Genesis of an Ordinary Differential Equation (footnote $\dagger$)