\[ y'(x)=x^3 \sqrt {x^2+4 y(x)-4 x}+x^2 \sqrt {x^2+4 y(x)-4 x}+\sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] ✓ Mathematica : cpu = 0.732913 (sec), leaf count = 102
\[\text {Solve}\left [-\frac {1}{2} \sqrt {x^2+4 y(x)-4 x}+\log \left (-\sqrt {x^2+4 y(x)-4 x}-x+2\right )-\tanh ^{-1}\left (\frac {2 x-4}{2 \sqrt {x^2+4 y(x)-4 x}}\right )+\frac {x^4}{4}+\frac {x^3}{3}-\frac {1}{2} \log (2-2 y(x))+x=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.529 (sec), leaf count = 33
\[ \left \{ {\it \_C1}+{\frac {{x}^{4}}{2}}+{\frac {2\,{x}^{3}}{3}}+2\,x-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]