2.650   ODE No. 650

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

$$y^{\prime }(x)=x\sqrt{a^2+2ax+x^2+4y(x)}-\frac{a}{2}-\frac{x}{2}$$ ✓ Mathematica : cpu = 0.224763 (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 = 0.209 (sec), leaf count = 28

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