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