\[ y''(x)=\frac {y'(x)}{x+1}-\frac {(3 x+1) y(x)}{4 x^2 (x+1)} \] ✓ Mathematica : cpu = 0.0300598 (sec), leaf count = 26
\[\left \{\left \{y(x)\to c_1 \sqrt {x}+c_2 \sqrt {x} (x+\log (x))\right \}\right \}\]
✓ Maple : cpu = 0.02 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}+{\it \_C2}\,\sqrt {x} \left ( x+\ln \left ( x \right ) \right ) \right \} \]