2.657   ODE No. 657

\[ y'(x)=x^2 \sqrt {x^2+8 y(x)-2 x+1}-\frac {x}{4}+\frac {1}{4} \] Mathematica : cpu = 0.259776 (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 = 0.287 (sec), leaf count = 26


\[c_{1}+\frac {4 x^{3}}{3}-\sqrt {x^{2}-2 x +1+8 y \relax (x )} = 0\]