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