\[ (x+1) x^2 y''(x)-(2 x+1) x y'(x)+(2 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.0272916 (sec), leaf count = 18
\[\left \{\left \{y(x)\to c_1 x+c_2 x (x+\log (x))\right \}\right \}\] ✓ Maple : cpu = 0.032 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) =x \left ( {\it \_C2}\,\ln \left ( x \right ) +{\it \_C2}\,x+{\it \_C1} \right ) \right \} \]