\[ y'(x)=x^2 \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] ✓ Mathematica : cpu = 0.245205 (sec), leaf count = 37
\[\left \{\left \{y(x)\to \frac {1}{72} \left (16 x^6-9 x^2-96 c_1 x^3+18 x-9+144 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.39 (sec), leaf count = 26
\[ \left \{ {\it \_C1}+{\frac {4\,{x}^{3}}{3}}-\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0 \right \} \]