\[ y''(x)=-\frac {y'(x)}{x+1}-\frac {y(x)}{x (x+1)^2} \] ✓ Mathematica : cpu = 0.0249236 (sec), leaf count = 29
\[\left \{\left \{y(x)\to \frac {c_1 x}{x+1}+\frac {c_2 (x \log (x)-1)}{x+1}\right \}\right \}\]
✓ Maple : cpu = 0.03 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,x}{1+x}}+{\frac {{\it \_C2}\, \left ( x\ln \left ( x \right ) -1 \right ) }{1+x}} \right \} \]