Satisfaction of Bessel equation by any other function. Is it possible that any function $y(x)$ other than Bessel group of functions, satisfy Bessel's equation?

$$x^2 \dfrac{d^2 y}{d x^2} + x \dfrac{d y}{d x} + (1-n^2/x^2) y = 0.$$
Neumann functions are what you'd be interested in. They form a set of solutions to the Bessel equation that have a singular point at the origin.
Neumann functions are what you'd be interested in. They form a set of solutions to the Bessel equation that have a singular point at the origin.