# Legendre's differential equation

> English word · Proper noun

## Definitions
1. The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.

## Etymology
Named after French mathematician Adrien-Marie Legendre (1752–1833).

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/legendre-s-differential-equation