\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {x+1+ \left( y \left( x \right)  \right) ^{4}-2\,{x}^{2} \left( y \left( x \right)  \right) ^{2}+{x}^{4}+ \left( y \left( x \right)  \right) ^{6}-3\,{x}^{2} \left( y \left( x \right)  \right) ^{4}+3\,{x}^{4} \left( y \left( x \right)  \right) ^{2}-{x}^{6}}{y \left( x \right) }}=0}
\]