\[ x (x+1) y''(x)+(3 x+2) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0193547 (sec), leaf count = 34
\[\left \{\left \{y(x)\to \frac {\sqrt {2} c_1}{x}+\frac {c_2 \log (2 x+2)}{\sqrt {2} x}\right \}\right \}\] ✓ Maple : cpu = 0.007 (sec), leaf count = 16
\[y \relax (x ) = \frac {\ln \left (1+x \right ) c_{1}+c_{2}}{x}\]