\[ y'(x)=x \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] ✓ Mathematica : cpu = 0.305663 (sec), leaf count = 37
\[\left \{\left \{y(x)\to \frac {1}{8} \left (4 x^4-x^2-16 c_1 x^2+2 x-1+16 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.296 (sec), leaf count = 27
\[\left \{2 x^{2}+c_{1}+\frac {1}{4}-\sqrt {x^{2}-2 x +8 y \left (x \right )+1} = 0\right \}\]