\[ y'(x)=x^2 \sqrt {x^2+4 y(x)-4 x}+\sqrt {x^2+4 y(x)-4 x}+x^3 \sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] ✓ Mathematica : cpu = 1.02817 (sec), leaf count = 102
\[\text {Solve}\left [\frac {x^4}{4}+\frac {x^3}{3}-\frac {1}{2} \sqrt {x^2+4 y(x)-4 x}+\log \left (-\sqrt {x^2+4 y(x)-4 x}-x+2\right )-\tanh ^{-1}\left (\frac {2 x-4}{2 \sqrt {x^2+4 y(x)-4 x}}\right )-\frac {1}{2} \log (2-2 y(x))+x=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.333 (sec), leaf count = 33
\[c_{1}+\frac {x^{4}}{2}+\frac {2 x^{3}}{3}+2 x -\sqrt {x^{2}-4 x +4 y \relax (x )} = 0\]