\[ \boxed { 2\, \left ( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) \right ) y \left ( x \right ) - \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-4\, \left ( x+2\,y \left ( x \right ) \right ) \left ( y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 1.657711 (sec), leaf count = 35 \[ \text {DSolve}\left [2 y(x) y''(x)-y'(x)^2-4 (2 y(x)+x) y(x)^2=0,y(x),x\right ] \]
Maple: cpu = 1.825 (sec), leaf count = 0 \[ \text {could not solve} \]