\[ \boxed { \left ( x+ \left ( y \left ( x \right ) \right ) ^{2} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\, \left ( x- \left ( y \left ( x \right ) \right ) ^{2} \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}+ \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) \left ( 1+4\,y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) =0} \]
Mathematica: cpu = 1.423181 (sec), leaf count = 26 \[ \text {Solve}\left [x=c_2 e^{e^{-c_1} y(x)}-y(x)^2,y(x)\right ] \]
Maple: cpu = 1.670 (sec), leaf count = 23 \[ \left \{ {\frac {-{\it \_C1}\,y \left ( x \right ) +\ln \left ( x+ \left ( y \left ( x \right ) \right ) ^{2} \right ) +{\it \_C2}+2}{y \left ( x \right ) }}=0 \right \} \]