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