\[ y'(x)=\frac {-\frac {x^2}{2}+x^3 \sqrt {x^2+4 y(x)-4 x}+\frac {x}{2}+1}{x+1} \] ✓ Mathematica : cpu = 0.301611 (sec), leaf count = 89
\[\left \{\left \{y(x)\to -\frac {1}{3} \left (2 c_1+3\right ) x^3+\left (c_1+\frac {3}{4}\right ) x^2+\left (2 c_1-\frac {2 x^3}{3}+x^2-2 x\right ) \log (x+1)-2 c_1 x+c_1^2+\frac {x^6}{9}-\frac {x^5}{3}+\frac {11 x^4}{12}+x+\log ^2(x+1)\right \}\right \}\]
✓ Maple : cpu = 0.348 (sec), leaf count = 39
\[ \left \{ {\it \_C1}+{\frac {2\,{x}^{3}}{3}}-{x}^{2}+2\,x-2\,\ln \left ( 1+x \right ) -\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]