\[ y'(x)=\frac {x^6-3 x^4 y(x)+2 x^3+3 x^2 y(x)^2-2 x y(x)-y(x)^3-2 x}{x^2-y(x)-1} \] ✓ Mathematica : cpu = 0.0191578 (sec), leaf count = 49
\[\left \{\left \{y(x)\to \frac {1}{1-\frac {1}{\sqrt {c_1-2 x}}}+x^2-1\right \},\left \{y(x)\to \frac {1}{\frac {1}{\sqrt {c_1-2 x}}+1}+x^2-1\right \}\right \}\] ✓ Maple : cpu = 0.062 (sec), leaf count = 73
\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,x-2\,{\it \_C1}} \left ( -2\,{\it \_C1}\,{x}^{2}+2\,{x}^{3}+\sqrt {2\,{\it \_C1}-2\,x+1}-1 \right ) },y \left ( x \right ) ={\frac {1}{-2\,x+2\,{\it \_C1}} \left ( 2\,{\it \_C1}\,{x}^{2}-2\,{x}^{3}+\sqrt {2\,{\it \_C1}-2\,x+1}+1 \right ) } \right \} \]