\[ x^2 (y(x)+x) y''(x)-\left (x y'(x)-y(x)\right )^2=0 \] ✓ Mathematica : cpu = 0.0819123 (sec), leaf count = 20
\[\left \{\left \{y(x)\to x \left (c_2 e^{\frac {c_1}{x}}-1\right )\right \}\right \}\]
✓ Maple : cpu = 0.162 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) =-{\frac {x}{{\it \_C2}} \left ( -{{\rm e}^{{\frac {{\it \_C1}}{x}}}}{{\rm e}^{-1}}+{\it \_C2} \right ) } \right \} \]