The Differential Equation $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - 1 / 25 \right) y = 0$

Multiple Choice

The differential equation $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - 1 / 25 \right) y = 0$ is

A) Bessel's equation of order $n$
B) Bessel's equation of order 1/25
C) Bessel's equation of order 1/5
D) Legendre's equation of order 1/25
E) Legendre's equation of order 1/5