\[ 2 x^2 y(x) y''(x)+x^2 \left (-\left (y'(x)^2+1\right )\right )+y(x)^2=0 \] ✓ Mathematica : cpu = 0.185261 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \frac {x \left (c_1^2 \log ^2(x)-2 c_2 c_1^2 \log (x)+c_2^2 c_1^2+4\right )}{4 c_1}\right \}\right \}\]
✓ Maple : cpu = 0.042 (sec), leaf count = 28
\[ \left \{ y \left ( x \right ) ={\frac { \left ( {{\it \_C1}}^{2}+1 \right ) x}{4\,{\it \_C2}}}+{\it \_C1}\,x\ln \left ( x \right ) +{\it \_C2}\,x \left ( \ln \left ( x \right ) \right ) ^{2} \right \} \]