\[ y'(x)=\frac {e^{2 F(-(x-y(x)) (y(x)+x))}+x^2+2 x y(x)+y(x)^2}{-e^{2 F(-(x-y(x)) (y(x)+x))}+x^2+2 x y(x)+y(x)^2} \] ✗ Mathematica : cpu = 3599.95 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.214 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -{\it \_Z}+\int ^{ \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-2\,{{\rm e}^{{\it \_Z}}}x}\! \left ( {{\rm e}^{2\,F \left ( {\it \_a} \right ) }}+{\it \_a} \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) }}-x \right \} \]