3.649   ODE No. 649

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-x/4+1/4+x\sqrt{x^2-2x+1+8y\left(x\right)}=0}}$$

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

Mathematica: cpu = 0.180523 (sec), leaf count = 37 $$\left\{\{y(x)\to \frac{1}{8}(-16c_1{x}^2+16c_1^2+4x^4-x^2+2x-1)\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 27 $$\{\mathit{\_}\mathit{C}\mathit{1}+2x^2+\frac{1}{4}-\sqrt{x^2-2x+1+8y\left(x\right)}=0\}$$