\[ (x+1) x^2 y''(x)-(2 x+1) x y'(x)+(2 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.027677 (sec), leaf count = 17
\[\left \{\left \{y(x)\to x \left (c_2 (x+\log (x))+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.033 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) =x \left ( {\it \_C2}\,\ln \left ( x \right ) +{\it \_C2}\,x+{\it \_C1} \right ) \right \} \]