\[ y''(x)=\frac {(3 x+1) y'(x)}{(x-1) (x+1)}-\frac {36 (x+1)^2 y(x)}{(x-1)^2 (3 x+5)^2} \] ✓ Mathematica : cpu = 0.0598421 (sec), leaf count = 51
\[\left \{\left \{y(x)\to \frac {1}{2} (1-x)^{3/2} \sqrt {3 x+5} \left (3 c_2 \log (1-x)+c_2 \log (3 x+5)+2 c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.069 (sec), leaf count = 34
\[ \left \{ y \left ( x \right ) =\sqrt {3\,x+5} \left ( x-1 \right ) ^{{\frac {3}{2}}} \left ( {\it \_C2}\,\ln \left ( 3\,x+5 \right ) +3\,{\it \_C2}\,\ln \left ( x-1 \right ) +{\it \_C1} \right ) \right \} \]