\[ \boxed { 2\,{x}^{2}y \left ( x \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -{x}^{2} \left ( \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+1 \right ) + \left ( y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 0.189524 (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 = 1.638 (sec), leaf count = 28 \[ \left \{ y \left ( x \right ) ={\frac { \left ( {{\it \_C1}}^{2}+1 \right ) x}{4\,{\it \_C2}}}+{\it \_C1}\,x\ln \left ( x \right ) +{\it \_C2}\,x \left ( \ln \left ( x \right ) \right ) ^{2} \right \} \]