3.665   ODE No. 665

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/2\frac{(\sqrt{a}{x}^4+\sqrt{a}{x}^3-2\sqrt{a{x}^4+8y\left(x\right)})\sqrt{a}}{1+x}=0}}$$

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

Mathematica: cpu = 0.272035 (sec), leaf count = 41 $$\left\{\{y(x)\to \frac{1}{8}(-32a{c}_1\log (x+1)+16a{c}_1^2-a{x}^4+16a{\log }^2(x+1))\}\right\}$$

Maple: cpu = 0.343 (sec), leaf count = 28 $$\{-\frac{1}{4}\sqrt{a{x}^4+8y\left(x\right)}\frac{1}{\sqrt{a}}+\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$