2.678   ODE No. 678

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

$$y^{\prime }(x)=\frac{x^2(2x\sqrt{x^3-6y(x)}+x+1)}{2(x+1)}$$ ✓ Mathematica : cpu = 0.285286 (sec), leaf count = 90

$$\left\{\{y(x)\to (-3c_1+x^3-\frac{3x^2}{2}+3x)\log (x+1)+\frac{1}{24}(8(3c_1+5)x^3-36(c_1+1)x^2+72c_{1}x-36c_1^2-4x^6+12x^5-33x^4)-\frac{3}{2}{\log }^2(x+1)\}\right\}$$

✓ Maple : cpu = 0.314 (sec), leaf count = 37

$$\{\mathit{\_}\mathit{C}\mathit{1}-x^3+\frac{3x^2}{2}-3x+3\ln (1+x)-\frac{1}{2}-\sqrt{x^3-6y\left(x\right)}=0\}$$