3.662   ODE No. 662

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

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

Mathematica: cpu = 0.196525 (sec), leaf count = 37 $$\left\{\{y(x)\to \frac{1}{36}(24c_1{x}^3-36c_1^2-4x^6+9x^2+18x+9)\}\right\}$$

Maple: cpu = 0.188 (sec), leaf count = 26 $$\{\mathit{\_}\mathit{C}\mathit{1}-\frac{2x^3}{3}-\sqrt{x^2+2x+1-4y\left(x\right)}=0\}$$