\[ y'(x)=x^2 \sqrt {x^2+4 y(x)-4 x}+\sqrt {x^2+4 y(x)-4 x}+x^3 \sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] ✓ Mathematica : cpu = 0.264398 (sec), leaf count = 68
DSolve[Derivative[1][y][x] == 1 - x/2 + Sqrt[-4*x + x^2 + 4*y[x]] + x^2*Sqrt[-4*x + x^2 + 4*y[x]] + x^3*Sqrt[-4*x + x^2 + 4*y[x]],y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{144} \left (9 x^8+24 x^7+16 x^6+72 x^5+96 x^4-72 c_1 x^4-96 c_1 x^3+108 x^2+144 x-288 c_1 x+144 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.372 (sec), leaf count = 33
dsolve(diff(y(x),x) = -1/2*x+1+(x^2-4*x+4*y(x))^(1/2)+x^2*(x^2-4*x+4*y(x))^(1/2)+x^3*(x^2-4*x+4*y(x))^(1/2),y(x))
\[c_{1}+\frac {x^{4}}{2}+\frac {2 x^{3}}{3}+2 x -\sqrt {x^{2}-4 x +4 y \left (x \right )} = 0\]