\[ x (x+1) y''(x)-(x-1) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0253234 (sec), leaf count = 25
\[\{\{y(x)\to c_1 (x-1)+c_2 (x \log (x)-\log (x)-4)\}\}\] ✓ Maple : cpu = 0.024 (sec), leaf count = 20
\[ \left \{ y \left ( x \right ) ={\it \_C2}\, \left ( x-1 \right ) \ln \left ( x \right ) -4\,{\it \_C2}+{\it \_C1}\, \left ( x-1 \right ) \right \} \]