ODE No. 1766

\[ x y(x) y''(x)-4 x y'(x)^2+4 y(x) y'(x)=0 \]

✓ Mathematica : cpu = 0.164691 (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 = 0.047 (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))

\[y \left (x \right ) = \frac {x}{\left (-3 c_{2} x^{3}+c_{1} \right )^{{1}/{3}}}\]