\[ y'(x)^2-2 y(x) y'(x)-2 x=0 \] ✓ Mathematica : cpu = 0.627399 (sec), leaf count = 61
\[\text {Solve}\left [\left \{x=\frac {K[1] \sinh ^{-1}(K[1])}{2 \sqrt {K[1]^2+1}}+\frac {c_1 K[1]}{\sqrt {K[1]^2+1}},y(x)=\frac {K[1]}{2}-\frac {x}{K[1]}\right \},\{y(x),K[1]\}\right ]\] ✓ Maple : cpu = 0.082 (sec), leaf count = 223
\[\frac {\left (\frac {y \relax (x )}{2}-\frac {\sqrt {y \relax (x )^{2}+2 x}}{2}\right ) \arcsinh \left (-y \relax (x )+\sqrt {y \relax (x )^{2}+2 x}\right )+x \sqrt {2 y \relax (x )^{2}+2 x -2 y \relax (x ) \sqrt {y \relax (x )^{2}+2 x}+1}-2 c_{1} y \relax (x )+2 c_{1} \sqrt {y \relax (x )^{2}+2 x}}{\sqrt {2 y \relax (x )^{2}+2 x -2 y \relax (x ) \sqrt {y \relax (x )^{2}+2 x}+1}} = 0\]