\[ y'(x)=x^3 \sqrt {x^2-4 y(x)+2 x+1}+x^2 \sqrt {x^2-4 y(x)+2 x+1}+\sqrt {x^2-4 y(x)+2 x+1}+\frac {x}{2}+\frac {1}{2} \] ✓ Mathematica : cpu = 0.79207 (sec), leaf count = 103
\[\text {Solve}\left [\frac {1}{2} \sqrt {x^2-4 y(x)+2 x+1}+\frac {1}{2} \log \left (\sqrt {x^2-4 y(x)+2 x+1}+x+1\right )-\frac {1}{2} \tanh ^{-1}\left (\frac {2 x+2}{2 \sqrt {x^2-4 y(x)+2 x+1}}\right )+\frac {x^4}{4}+\frac {x^3}{3}-\frac {1}{4} \log (y(x))+x=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.468 (sec), leaf count = 34
\[ \left \{ {\it \_C1}-{\frac {{x}^{4}}{2}}-{\frac {2\,{x}^{3}}{3}}-2\,x-\sqrt {{x}^{2}+2\,x+1-4\,y \left ( x \right ) }=0 \right \} \]