2.658   ODE No. 658

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{\sqrt{x^2+8y(x)-2x+1}-\frac{x^2}{4}+\frac{1}{4}}{x+1}$$ ✓ Mathematica : cpu = 0.408618 (sec), leaf count = 41

$$\left\{\{y(x)\to \frac{1}{8}(-x^2+2x+16{\log }^2(x+1)-32c_1\log (x+1)-1+16c_1{}^2)\}\right\}$$ ✓ Maple : cpu = 0.616 (sec), leaf count = 28

$$\{\mathit{\_}\mathit{C}\mathit{1}+4\ln (1+x)-\frac{1}{4}-\sqrt{x^2-2x+1+8y\left(x\right)}=0\}$$