3.699   ODE No. 699

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

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

Mathematica: cpu = 0.243531 (sec), leaf count = 101 $$\left\{\{y(x)\to \frac{1}{48}(-24c_1{x}^3+36c_1{x}^2-72c_{1}x+72c_1\log (x+1)+36c_1^2+4x^6-12x^5+33x^4-36x^3-24x^3\log (x+1)+20x^2+36x^2\log (x+1)+36{\log }^2(x+1)-72x\log (x+1))\}\right\}$$

Maple: cpu = 0.265 (sec), leaf count = 36 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{x^3}{2}-\frac{3x^2}{4}+\frac{3x}{2}-\frac{3\ln (1+x)}{2}-\sqrt{x^2+3y\left(x\right)}=0\}$$