\[ y''(x)=\frac {y'(x)}{x+1}-\frac {(3 x+1) y(x)}{4 x^2 (x+1)} \] ✓ Mathematica : cpu = 0.0210591 (sec), leaf count = 26
\[\left \{\left \{y(x)\to c_1 \sqrt {x}+c_2 \sqrt {x} (x+\log (x))\right \}\right \}\] ✓ Maple : cpu = 0.014 (sec), leaf count = 17
\[\left \{y \left (x \right ) = \left (c_{2} x +c_{2} \ln \left (x \right )+c_{1}\right ) \sqrt {x}\right \}\]