\[ y'(x)=\frac {(y(x)-x+\log (x+1))^2+x}{x+1} \] ✓ Mathematica : cpu = 0.334976 (sec), leaf count = 24
\[\left \{\left \{y(x)\to x-\log (x+1)+\frac {1}{-\log (x+1)+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.06 (sec), leaf count = 36
\[\left \{y \left (x \right ) = \frac {c_{1} x -\ln \left (x +1\right )^{2}+\left (-c_{1}+x \right ) \ln \left (x +1\right )-1}{c_{1}+\ln \left (x +1\right )}\right \}\]