\[ \boxed { {x}^{2} \left ( y \left ( x \right ) +x \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 0.082010 (sec), leaf count = 21 \[ \left \{\left \{y(x)\to c_2 x e^{\frac {c_1}{x}}-x\right \}\right \} \]
Maple: cpu = 1.685 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) ={\frac {x{{\rm e}^{-1}}}{{\it \_C1}}{ {\rm e}^{{\frac {{\it \_C2}}{x}}}}}-x \right \} \]