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 = 0.225597 (sec), leaf count = 101

$$\left\{\{y(x)\to \frac{1}{24}(24c_1{x}^3-36c_1{x}^2+72c_{1}x-72c_1\log (x+1)-36c_1^2-4x^6+12x^5-33x^4+40x^3+24x^3\log (x+1)-36x^2-36x^2\log (x+1)-36{\log }^2(x+1)+72x\log (x+1))\}\right\}$$

✓ Maple : cpu = 0.281 (sec), leaf count = 37

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