2.665   ODE No. 665

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

$$y^{\prime }(x)=-\frac{\sqrt{a}(-2\sqrt{a{x}^4+8y(x)}+\sqrt{a}{x}^4+\sqrt{a}{x}^3)}{2(x+1)}$$ ✓ Mathematica : cpu = 0.436083 (sec), leaf count = 41

$$\left\{\{y(x)\to \frac{1}{8}(-a{x}^4+16a{\log }^2(x+1)-32a{c}_1\log (x+1)+16a{c}_1{}^2)\}\right\}$$ ✓ Maple : cpu = 1.067 (sec), leaf count = 28

$$\{-\frac{1}{4}\sqrt{a{x}^4+8y\left(x\right)}\frac{1}{\sqrt{a}}+\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$