\[ x y(x) y''(x)-4 x y'(x)^2+4 y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.110001 (sec), leaf count = 21
DSolve[4*y[x]*Derivative[1][y][x] - 4*x*Derivative[1][y][x]^2 + x*y[x]*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_2 x}{\sqrt [3]{1+c_1 x^3}}\right \}\right \}\] ✓ Maple : cpu = 0.041 (sec), leaf count = 64
dsolve(x*y(x)*diff(diff(y(x),x),x)-4*x*diff(y(x),x)^2+4*y(x)*diff(y(x),x)=0,y(x))
\[y \left (x \right ) = \frac {x}{\left (-3 x^{3} c_{2}+c_{1}\right )^{\frac {1}{3}}}\]