\[ \left (2 x y(x)-x^2\right ) y'(x)^2+2 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] ✓ Mathematica : cpu = 0.229679 (sec), leaf count = 71
\[\left \{\left \{y(x)\to e^{\frac {c_1}{2}}-\sqrt {-x^2+2 e^{\frac {c_1}{2}} x}\right \},\left \{y(x)\to \sqrt {-x^2+2 e^{\frac {c_1}{2}} x}+e^{\frac {c_1}{2}}\right \}\right \}\] ✓ Maple : cpu = 0.081 (sec), leaf count = 103
\[\left \{y \left (x \right ) = 0, y \left (x \right ) = x \RootOf \left (2 c_{1}+\int _{}^{\textit {\_Z}}\frac {-2 \textit {\_a}^{2}+\sqrt {2}\, \sqrt {\left (\textit {\_a} -1\right )^{2} \textit {\_a}}}{\left (\textit {\_a}^{2}+1\right ) \textit {\_a}}d \textit {\_a} -2 \ln \left (x \right )\right ), y \left (x \right ) = x \RootOf \left (2 c_{1}-\left (\int _{}^{\textit {\_Z}}\frac {2 \textit {\_a}^{2}+\sqrt {2}\, \sqrt {\left (\textit {\_a} -1\right )^{2} \textit {\_a}}}{\left (\textit {\_a}^{2}+1\right ) \textit {\_a}}d \textit {\_a} \right )-2 \ln \left (x \right )\right )\right \}\]