\[ \left (2 x y(x)-x^2\right ) y'(x)^2-6 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] ✓ Mathematica : cpu = 0.196225 (sec), leaf count = 81
\[\left \{\left \{y(x)\to -\sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}+2 x-e^{\frac {c_1}{2}}\right \},\left \{y(x)\to \sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}+2 x-e^{\frac {c_1}{2}}\right \}\right \}\] ✓ Maple : cpu = 0.08 (sec), leaf count = 115
\[\left \{y \left (x \right ) = 0, y \left (x \right ) = x \RootOf \left (2 c_{1}+\int _{}^{\textit {\_Z}}\frac {-2 \textit {\_a}^{2}+4 \textit {\_a} +\sqrt {2}\, \sqrt {\left (\textit {\_a} +1\right )^{2} \textit {\_a}}}{\left (\textit {\_a}^{2}-4 \textit {\_a} +1\right ) \textit {\_a}}d \textit {\_a} -2 \ln \left (x \right )\right ), y \left (x \right ) = x \RootOf \left (2 c_{1}-\left (\int _{}^{\textit {\_Z}}\frac {2 \textit {\_a}^{2}-4 \textit {\_a} +\sqrt {2}\, \sqrt {\left (\textit {\_a} +1\right )^{2} \textit {\_a}}}{\left (\textit {\_a}^{2}-4 \textit {\_a} +1\right ) \textit {\_a}}d \textit {\_a} \right )-2 \ln \left (x \right )\right )\right \}\]