2.649   ODE No. 649

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

$$y^{\prime }(x)=x\sqrt{x^2+8y(x)-2x+1}-\frac{x}{4}+\frac{1}{4}$$ ✓ Mathematica : cpu = 0.24989 (sec), leaf count = 37

$$\left\{\{y(x)\to \frac{1}{8}(4x^4-x^2-16c_1{x}^2+2x-1+16c_1{}^2)\}\right\}$$ ✓ Maple : cpu = 0.495 (sec), leaf count = 27

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