\[ y'(x)=x \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] ✓ Mathematica : cpu = 0.174886 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {1}{8} \left (-\left (16 c_1+1\right ) x^2+16 c_1^2+4 x^4+2 x-1\right )\right \}\right \}\]
✓ Maple : cpu = 0.247 (sec), leaf count = 27
\[ \left \{ {\it \_C1}+2\,{x}^{2}+{\frac {1}{4}}-\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0 \right \} \]