\[ x^2 (y(x)+x) y''(x)-\left (x y'(x)-y(x)\right )^2=0 \] ✓ Mathematica : cpu = 0.122441 (sec), leaf count = 21
\[\left \{\left \{y(x)\to -x+c_2 x e^{\frac {c_1}{x}}\right \}\right \}\] ✓ Maple : cpu = 1.365 (sec), leaf count = 22
\[\left \{y \left (x \right ) = -\frac {\left (c_{1}-{\mathrm e}^{-1} {\mathrm e}^{\frac {c_{2}}{x}}\right ) x}{c_{1}}\right \}\]