\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{1+x}}-1/4\,{\frac { \left ( 3\,x+1 \right ) y \left ( x \right ) }{{x}^{2} \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.023503 (sec), leaf count = 26 \[ \left \{\left \{y(x)\to c_1 \sqrt {x}+c_2 \sqrt {x} (x+\log (x))\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}+{\it \_C2}\,\sqrt { x} \left ( x+\ln \left ( x \right ) \right ) \right \} \]