\[ y'(x)=x^2 \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] ✓ Mathematica : cpu = 0.297964 (sec), leaf count = 37
\[\left \{\left \{y(x)\to \frac {1}{72} \left (16 x^6-96 c_1 x^3-9 x^2+18 x-9+144 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.271 (sec), leaf count = 26
\[\left \{\frac {4 x^{3}}{3}+c_{1}-\sqrt {x^{2}-2 x +8 y \left (x \right )+1} = 0\right \}\]