3.650   ODE No. 650

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

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

Mathematica: cpu = 0.245531 (sec), leaf count = 40 $$\left\{\{y(x)\to \frac{1}{4}(-a^2-2ax-4c_1{x}^2+4c_1^2+x^4-x^2)\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 28 $$\{\mathit{\_}\mathit{C}\mathit{1}+x^2+\frac{1}{2}-\sqrt{x^2+2ax+a^2+4y\left(x\right)}=0\}$$