Definition:Legendre's Differential Equation/Also presented as

Legendre's Differential Equation: Also presented as

Legendre's differential equation can also be written in the form:

$\paren {1 - x^2} y' ' - 2 x y' + p \paren {p + 1} y = 0$

Sources

• 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 25$: Legendre's Differential Equation: $25.1$
• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 1$: Introduction: $(8)$
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Legendre's differential equation
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Legendre's differential equation