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