\[ y'(x)=\frac {x^3 \sqrt {x^2+4 y(x)-4 x}-\frac {x^2}{2}+\frac {x}{2}+1}{x+1} \] ✓ Mathematica : cpu = 0.471678 (sec), leaf count = 104
\[\left \{\left \{y(x)\to \frac {1}{36} \left (4 x^6-12 x^5+33 x^4-36 x^3+27 x^2-24 x^3 \log (x+1)+36 x^2 \log (x+1)-24 c_1 x^3+36 c_1 x^2+36 x+36 \log ^2(x+1)-72 x \log (x+1)-72 c_1 x+72 c_1 \log (x+1)+36 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.686 (sec), leaf count = 39
\[ \left \{ {\it \_C1}+{\frac {2\,{x}^{3}}{3}}-{x}^{2}+2\,x-2\,\ln \left ( 1+x \right ) -\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]