The Differential Equation $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - 2 x y ^ { \prime } + \lambda y = 0$

Multiple Choice

The differential equation $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - 2 x y ^ { \prime } + \lambda y = 0$ is

A) Legendre's equation
B) Bessel's equation
C) the Fourier-Bessel
D) the hypergeometric
E) none of the above