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