\[ \boxed { \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\, \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 14.420831 (sec), leaf count = 31 \[ \text {DSolve}\left [4 y'(x)^2+\left (x y'(x)-y(x)\right ) y''(x)=0,y(x),x\right ] \]
Maple: cpu = 0.156 (sec), leaf count = 40 \[ \left \{ y \left ( x \right ) ={{\rm e}^{\int ^{\ln \left ( x \right ) } \!{{\rm e}^{{\it RootOf} \left ( \ln \left ( {{\rm e}^{{\it \_Z}}}-1 \right ) {{\rm e}^{{\it \_Z}}}+{\it \_C1}\,{{\rm e}^{{\it \_Z}}}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}-{\it \_b}\,{{\rm e}^{{\it \_Z}}}+2 \right ) }}-1{d{\it \_b}}+{\it \_C2}}} \right \} \]