\[ y'(x)=\frac {x^4-2 x^2 y(x)+2 x^2+y(x)^2+2 x-1}{x+1} \] ✓ Mathematica : cpu = 0.095769 (sec), leaf count = 31
\[\left \{\left \{y(x)\to \frac {(x+1)^2}{c_1-\frac {x^2}{2}-x}+x^2+1\right \}\right \}\]
✓ Maple : cpu = 0.248 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{x}^{4}+2\,{\it \_C1}\,{x}^{3}-{\it \_C1}\,{x}^{2}-2\,{\it \_C1}\,x+{x}^{2}-2\,{\it \_C1}+1}{{\it \_C1}\,{x}^{2}+2\,{\it \_C1}\,x+1}} \right \} \]