\[ \left (2 x y(x)-x^2\right ) y'(x)^2+2 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] ✓ Mathematica : cpu = 0.189444 (sec), leaf count = 69
\[\left \{\left \{y(x)\to e^{\frac {c_1}{2}}-\sqrt {x \left (2 e^{\frac {c_1}{2}}-x\right )}\right \},\left \{y(x)\to \sqrt {x \left (2 e^{\frac {c_1}{2}}-x\right )}+e^{\frac {c_1}{2}}\right \}\right \}\]
✓ Maple : cpu = 0.079 (sec), leaf count = 103
\[ \left \{ y \left ( x \right ) =0,y \left ( x \right ) ={\it RootOf} \left ( -2\,\ln \left ( x \right ) +\int ^{{\it \_Z}}\!{\frac {1}{{\it \_a}\, \left ( {{\it \_a}}^{2}+1 \right ) } \left ( -2\,{{\it \_a}}^{2}+\sqrt {2}\sqrt {{\it \_a}\, \left ( {\it \_a}-1 \right ) ^{2}} \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) x,y \left ( x \right ) ={\it RootOf} \left ( -2\,\ln \left ( x \right ) -\int ^{{\it \_Z}}\!{\frac {1}{{\it \_a}\, \left ( {{\it \_a}}^{2}+1 \right ) } \left ( 2\,{{\it \_a}}^{2}+\sqrt {2}\sqrt {{\it \_a}\, \left ( {\it \_a}-1 \right ) ^{2}} \right ) }{d{\it \_a}}+2\,{\it \_C1} \right ) x \right \} \]