The differential equation of the form 1 - x²)y^′′ - 2xy' + n(n + 1)y 0 is called?
- Legendre equation
- Hermite equation
- Cauchy equation
- None of these
Explanation
The differential equation (1 - x²)y'' - 2xy' + n(n + 1)y = 0 is known as Legendre's equation.
It arises in problems with spherical symmetry, such as solutions to Laplace’s equation in spherical coordinates.
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