\[ y'(x)=\frac {\sqrt {x^2+4 y(x)-4 x}-\frac {x^2}{2}+\frac {x}{2}+1}{x+1} \] ✓ Mathematica : cpu = 0.212119 (sec), leaf count = 32
\[\left \{\left \{y(x)\to -2 c_1 \log (x+1)+c_1^2-\frac {x^2}{4}+x+\log ^2(x+1)\right \}\right \}\]
✓ Maple : cpu = 0.276 (sec), leaf count = 27
\[ \left \{ {\it \_C1}+2\,\ln \left ( 1+x \right ) -1-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]