\[ y'(x)=\frac {\sqrt {x^2+4 y(x)-4 x}-\frac {x^2}{2}+\frac {x}{2}+1}{x+1} \] ✓ Mathematica : cpu = 0.221651 (sec), leaf count = 40
\[\left \{\left \{y(x)\to \frac {1}{4} \left (-8 c_1 \log (x+1)+4 c_1^2-x^2+4 x+4 \log ^2(x+1)\right )\right \}\right \}\] ✓ Maple : cpu = 0.306 (sec), leaf count = 27
\[ \left \{ {\it \_C1}+2\,\ln \left ( 1+x \right ) -1-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]