\[ y''(x)=\frac {y'(x)}{x+1}-\frac {(3 x+1) y(x)}{4 x^2 (x+1)} \] ✓ Mathematica : cpu = 0.018698 (sec), leaf count = 26
\[\left \{\left \{y(x)\to c_1 \sqrt {x}+c_2 \sqrt {x} (x+\log (x))\right \}\right \}\] ✓ Maple : cpu = 0.045 (sec), leaf count = 17
\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {\it \_C2}\,\ln \left ( x \right ) +{\it \_C2}\,x+{\it \_C1} \right ) \right \} \]