\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-x/4+1/4+{x}^{2}\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0} \]
Mathematica: cpu = 0.190024 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to \frac {1}{72} \left (-96 c_1 x^3+144 c_1^2+16 x^6-9 x^2+18 x-9\right )\right \}\right \} \]
Maple: cpu = 0.171 (sec), leaf count = 26 \[ \left \{ {\it \_C1}+{\frac {4\,{x}^{3}}{3}}-\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0 \right \} \]