\[ y'(x)=\frac {x^4-2 x^2 y(x)+2 x^2+y(x)^2+2 x-1}{x+1} \] ✓ Mathematica : cpu = 0.113672 (sec), leaf count = 30
\[\left \{\left \{y(x)\to -\frac {2 (x+1)^2}{-2 c_1+x^2+2 x}+x^2+1\right \}\right \}\]
✓ Maple : cpu = 0.183 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( {x}^{4}+2\,{x}^{3}-{x}^{2}-2\,x-2 \right ) +{x}^{2}+1}{1+ \left ( {x}^{2}+2\,x \right ) {\it \_C1}}} \right \} \]