\[ (3 x+2) y'(x)+x (x+1) y''(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0200847 (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 = 0.038 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,\ln \left ( 1+x \right ) +{\it \_C2}}{x}} \right \} \]