\[ (x+1) x^2 y''(x)-(2 x+1) x y'(x)+(2 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.0260429 (sec), leaf count = 18
\[\left \{\left \{y(x)\to c_1 x+c_2 x (x+\log (x))\right \}\right \}\]
✓ Maple : cpu = 0.031 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,x+{\it \_C2}\,x \left ( x+\ln \left ( x \right ) \right ) \right \} \]