\[ 2 x^2 y(x) y''(x)-\left (x^2 \left (y'(x)^2+1\right )\right )+y(x)^2=0 \] ✓ Mathematica : cpu = 0.377853 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \frac {x \left (c_1{}^2 \log ^2(x)-2 c_2 c_1{}^2 \log (x)+4+c_2{}^2 c_1{}^2\right )}{4 c_1}\right \}\right \}\] ✓ Maple : cpu = 0.916 (sec), leaf count = 30
\[y \relax (x ) = \frac {x \left (4 c_{2}^{2} \ln \relax (x )^{2}+4 c_{1} \ln \relax (x ) c_{2}+c_{1}^{2}+1\right )}{4 c_{2}}\]