\[ y'(x)=x^2 \sqrt {x^2+4 y(x)-4 x}+\sqrt {x^2+4 y(x)-4 x}+x^3 \sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] ✓ Mathematica : cpu = 0.352845 (sec), leaf count = 68
\[\left \{\left \{y(x)\to \frac {1}{144} \left (-72 c_1 x^4-96 c_1 x^3-288 c_1 x+144 c_1^2+9 x^8+24 x^7+16 x^6+72 x^5+96 x^4+108 x^2+144 x\right )\right \}\right \}\] ✓ Maple : cpu = 0.326 (sec), leaf count = 33
\[ \left \{ {\it \_C1}+{\frac {{x}^{4}}{2}}+{\frac {2\,{x}^{3}}{3}}+2\,x-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]