\[ x (x+1) y''(x)-(x-1) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0380058 (sec), leaf count = 25
\[\left \{\left \{y(x)\to c_1 (x-1)+c_2 (x \log (x)-\log (x)-4)\right \}\right \}\]
✓ Maple : cpu = 0.05 (sec), leaf count = 20
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( x-1 \right ) +{\it \_C2}\, \left ( -4+ \left ( x-1 \right ) \ln \left ( x \right ) \right ) \right \} \]