\[ x (x+1) y''(x)+(3 x+2) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0283023 (sec), leaf count = 28
\[\left \{\left \{y(x)\to \frac {c_2 \log (2 (x+1))+2 c_1}{\sqrt {2} x}\right \}\right \}\]
✓ Maple : cpu = 0.011 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,\ln \left ( 1+x \right ) +{\it \_C2}}{x}} \right \} \]