\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac { \left ( 3\,x+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{ \left ( 1+x \right ) \left ( x-1 \right ) }}-36\,{\frac { \left ( 1+x \right ) ^{2}y \left ( x \right ) }{ \left ( x-1 \right ) ^{2} \left ( 3\,x+5 \right ) ^{2}}}=0} \]
Mathematica: cpu = 0.053507 (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 = 0.062 (sec), leaf count = 46 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {3\,x+5} \left ( x-1 \right ) ^{{\frac {3}{2}}}+{\it \_C2}\,\sqrt {3\,x+5} \left ( x-1 \right ) ^{{\frac {3}{2}}} \left ( \ln \left ( 3\,x+5 \right ) +3\,\ln \left ( x-1 \right ) \right ) \right \} \]