\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-2\,{\frac {x \left( n+1-2\,a \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{{x}^{2}-1}}-{\frac { \left( 4\,a{x}^{2} \left( a-n \right) - \left( {x}^{2}-1 \right)  \left( 2\,a+ \left( v-n \right)  \left( v+n+1 \right)  \right)  \right) y \left( x \right) }{ \left( {x}^{2}-1 \right) ^{2}}}=0}
\]