\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac { \left( x+y \left( x \right) +1 \right) y \left( x \right) }{ \left(  \left( y \left( x \right)  \right) ^{4}+ \left( y \left( x \right)  \right) ^{3}+ \left( y \left( x \right)  \right) ^{2}+x \right)  \left( 1+x \right) }}=0}
\]