\[ y'(x)=x^2 \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] ✓ Mathematica : cpu = 0.176088 (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 = 0.222 (sec), leaf count = 26
\[ \left \{ {\it \_C1}+{\frac {4\,{x}^{3}}{3}}-\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0 \right \} \]