\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( 2\,{x}^{2}+1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( {x}^{2}+1 \right) }}-{\frac { \left( -v \left( v+1 \right) {x}^{2}-{n}^{2} \right) y \left( x \right) }{{x}^{2} \left( {x}^{2}+1 \right) }}=0}
\]