3.660   ODE No. 660

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

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

Mathematica: cpu = 0.265034 (sec), leaf count = 42 $$\left\{\{y(x)\to \frac{1}{36}(-9a^2-18ax-24c_1{x}^3+36c_1^2+4x^6-9x^2)\}\right\}$$

Maple: cpu = 0.188 (sec), leaf count = 29 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{2x^3}{3}-\sqrt{x^2+2ax+a^2+4y\left(x\right)}=0\}$$