\[ y''(x)=\frac {y'(x)}{x+1}-\frac {(3 x+1) y(x)}{4 x^2 (x+1)} \] ✓ Mathematica : cpu = 0.01802 (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 = 17
\[y \relax (x ) = \sqrt {x}\, \left (c_{2} \ln \relax (x )+x c_{2}+c_{1}\right )\]