2.866   ODE No. 866

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

$$y^{\prime }(x)=x^2\sqrt{a^2+2ax+x^2+4y(x)}+\sqrt{a^2+2ax+x^2+4y(x)}+x^3\sqrt{a^2+2ax+x^2+4y(x)}-\frac{a}{2}-\frac{x}{2}$$ ✓ Mathematica : cpu = 0.481777 (sec), leaf count = 74

$$\left\{\{y(x)\to \frac{1}{144}(-36a^2-72ax-72c_1{x}^4-96c_1{x}^3-288c_{1}x+144c_1^2+9x^8+24x^7+16x^6+72x^5+96x^4+108x^2)\}\right\}$$

✓ Maple : cpu = 0.668 (sec), leaf count = 39

$$\{\frac{1}{2}\sqrt{x^2+2ax+a^2+4y\left(x\right)}-\frac{x^4}{4}-\frac{x^3}{3}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$