\[ \boxed { 2\,xy \left ( x \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.045506 (sec), leaf count = 18 \[ \left \{\left \{y(x)\to c_2 \left (c_1+\sqrt {x}\right ){}^2\right \}\right \} \]
Maple: cpu = 1.575 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}{\it \_C2}+{{\it \_C1}}^{2}x+{\frac {{{\it \_C2}}^{2}}{4}} \right \} \]