\[ y'(x)=\frac {x^4-2 x^2 y(x)+2 x^2+y(x)^2+2 x-1}{x+1} \] ✓ Mathematica : cpu = 0.0981001 (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 = 0.197 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( {x}^{4}+2\,{x}^{3}-{x}^{2}-2\,x-2 \right ) +{x}^{2}+1}{1+ \left ( {x}^{2}+2\,x \right ) {\it \_C1}}} \right \} \]