\[ y'(x)=\frac {\frac {x^2}{2}+x^3 \sqrt {x^2-4 y(x)+2 x+1}+x+\frac {1}{2}}{x+1} \] ✓ Mathematica : cpu = 0.256642 (sec), leaf count = 102
\[\left \{\left \{y(x)\to \frac {1}{36} \left (8 \left (3 c_1-1\right ) x^3+\left (39-36 c_1\right ) x^2+12 \left (-6 c_1+2 x^3-3 x^2+6 x+11\right ) \log (x+1)+6 \left (12 c_1-19\right ) x-4 \left (9 c_1^2-33 c_1+28\right )-4 x^6+12 x^5-33 x^4-36 \log ^2(x+1)\right )\right \}\right \}\]
✓ Maple : cpu = 0.335 (sec), leaf count = 38
\[ \left \{ {\it \_C1}-{\frac {2\,{x}^{3}}{3}}+{x}^{2}-2\,x+2\,\ln \left ( 1+x \right ) -\sqrt {{x}^{2}+2\,x+1-4\,y \left ( x \right ) }=0 \right \} \]