\[ x y'(x)^2-2 y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 2.37288 (sec), leaf count = 50
\[\text {Solve}\left [\left \{x=\frac {2 K[1]-2 \log (K[1])}{(K[1]-1)^2}+\frac {c_1}{(K[1]-1)^2},y(x)=x K[1]^2-2 K[1]\right \},\{y(x),K[1]\}\right ]\] ✓ Maple : cpu = 0.119 (sec), leaf count = 63
\[\{y \left (x \right ) = x \,{\mathrm e}^{2 \RootOf \left (2 x \,{\mathrm e}^{\textit {\_Z}}-x \,{\mathrm e}^{2 \textit {\_Z}}+c_{1}-2 \textit {\_Z} -x +2 \,{\mathrm e}^{\textit {\_Z}}\right )}-2 \,{\mathrm e}^{\RootOf \left (2 x \,{\mathrm e}^{\textit {\_Z}}-x \,{\mathrm e}^{2 \textit {\_Z}}+c_{1}-2 \textit {\_Z} -x +2 \,{\mathrm e}^{\textit {\_Z}}\right )}\}\]