\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( 3\,{x}^{2}-1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( {x}^{2}-1 \right) }}-{\frac { \left( {x}^{2}-1- \left( 2\,v+1 \right) ^{2} \right) y \left( x \right) }{ \left( {x}^{2}-1 \right) ^{2}}}=0}
\]