\[ y''(x)=\frac {(3 x+1) y'(x)}{(x-1) (x+1)}-\frac {36 (x+1)^2 y(x)}{(x-1)^2 (3 x+5)^2} \] ✓ Mathematica : cpu = 0.054436 (sec), leaf count = 72
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} (3 \log (1-x)+\log (3 x+5))}+\frac {1}{2} c_2 e^{\frac {1}{2} (3 \log (1-x)+\log (3 x+5))} (3 \log (1-x)+\log (3 x+5))\right \}\right \}\]
✓ Maple : cpu = 0.085 (sec), leaf count = 46
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( x-1 \right ) ^{{\frac {3}{2}}}\sqrt {3\,x+5}+{\it \_C2}\, \left ( x-1 \right ) ^{{\frac {3}{2}}}\sqrt {3\,x+5} \left ( 3\,\ln \left ( x-1 \right ) +\ln \left ( 3\,x+5 \right ) \right ) \right \} \]