\[ \left (2 x y(x)-x^2\right ) y'(x)^2+2 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] ✓ Mathematica : cpu = 0.176741 (sec), leaf count = 71
\[\left \{\left \{y(x)\to e^{\frac {c_1}{2}}-\sqrt {2 e^{\frac {c_1}{2}} x-x^2}\right \},\left \{y(x)\to \sqrt {2 e^{\frac {c_1}{2}} x-x^2}+e^{\frac {c_1}{2}}\right \}\right \}\]
✓ Maple : cpu = 0.082 (sec), leaf count = 109
\[ \left \{ y \left ( x \right ) =0,y \left ( x \right ) ={\it RootOf} \left ( -2\,\ln \left ( x \right ) +\int ^{{\it \_Z}}\!{\frac {1}{{\it \_a}\, \left ( {{\it \_a}}^{2}+1 \right ) } \left ( -2\,{{\it \_a}}^{2}+\sqrt {2\,{{\it \_a}}^{3}-4\,{{\it \_a}}^{2}+2\,{\it \_a}} \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) x,y \left ( x \right ) ={\it RootOf} \left ( -2\,\ln \left ( x \right ) -\int ^{{\it \_Z}}\!{\frac {1}{{\it \_a}\, \left ( {{\it \_a}}^{2}+1 \right ) } \left ( 2\,{{\it \_a}}^{2}+\sqrt {2\,{{\it \_a}}^{3}-4\,{{\it \_a}}^{2}+2\,{\it \_a}} \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) x \right \} \]