\[ y'(x)=\frac {(y(x)-x+\log (x+1))^2+x}{x+1} \] ✓ Mathematica : cpu = 0.194336 (sec), leaf count = 24
\[\left \{\left \{y(x)\to x-\log (x+1)+\frac {1}{-\log (x+1)+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.054 (sec), leaf count = 36
\[y \relax (x ) = \frac {-\ln \left (1+x \right )^{2}+\left (x -c_{1}\right ) \ln \left (1+x \right )+c_{1} x -1}{\ln \left (1+x \right )+c_{1}}\]