\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) \right ) ^{2}+2\,xy \left ( x \right ) +{x}^{2}+{{\rm e}^{2+2\, \left ( y \left ( x \right ) \right ) ^{4}-4\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+2\,{x}^{4}+2\, \left ( y \left ( x \right ) \right ) ^{6}-6\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+6\,{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}-2\,{x}^{6}}}}{ \left ( y \left ( x \right ) \right ) ^{2}+2\,xy \left ( x \right ) +{x}^{2}-{{\rm e}^{2+2\, \left ( y \left ( x \right ) \right ) ^{4}-4\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+2\,{x}^{4}+2\, \left ( y \left ( x \right ) \right ) ^{6}-6\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+6\,{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}-2\,{x}^{6}}}}}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.312 (sec), leaf count = 45 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -{\it \_Z}+ \int ^{ \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-2\,x{{\rm e}^{{\it \_Z}}}}\! \left ( {{\rm e}^{2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}+2}}+{ \it \_a} \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) }}-x \right \} \]