\[ y'(x)=\frac {\sqrt {x^2+4 y(x)-4 x}-\frac {x^2}{2}+\frac {x}{2}+1}{x+1} \] ✓ Mathematica : cpu = 1.01233 (sec), leaf count = 91
\[\text {Solve}\left [-\frac {1}{2} \sqrt {x^2+4 y(x)-4 x}+\log \left (-\sqrt {x^2+4 y(x)-4 x}-x+2\right )-\tanh ^{-1}\left (\frac {2 x-4}{2 \sqrt {x^2+4 y(x)-4 x}}\right )-\frac {1}{2} \log (2-2 y(x))+\log (x+1)=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.44 (sec), leaf count = 27
\[\left \{c_{1}+2 \ln \left (x +1\right )-1-\sqrt {x^{2}-4 x +4 y \left (x \right )} = 0\right \}\]