\[ 4 y'(x)^2+\left (x y'(x)-y(x)\right ) y''(x)=0 \] ✓ Mathematica : cpu = 12.2777 (sec), leaf count = 41
DSolve[4*Derivative[1][y][x]^2 + (-y[x] + x*Derivative[1][y][x])*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} c_2 e^{-2-W\left (\frac {2 x}{e^2 c_1}\right )} \left (2+W\left (\frac {2 x}{e^2 c_1}\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.267 (sec), leaf count = 40
dsolve((x*diff(y(x),x)-y(x))*diff(diff(y(x),x),x)+4*diff(y(x),x)^2=0,y(x))
\[y \left (x \right ) = {\mathrm e}^{\int _{}^{\ln \left (x \right )}\left ({\mathrm e}^{\RootOf \left (\ln \left ({\mathrm e}^{\textit {\_Z}}-1\right ) {\mathrm e}^{\textit {\_Z}}+c_{1} {\mathrm e}^{\textit {\_Z}}-\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}-\textit {\_b} \,{\mathrm e}^{\textit {\_Z}}+2\right )}-1\right )d \textit {\_b} +c_{2}}\]