3.753   ODE No. 753

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{(x+1+x^4\ln \left(y\left(x\right)\right))y\left(x\right)\ln \left(y\left(x\right)\right)}{x(1+x)}=0}}$$

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

Mathematica: cpu = 0.109014 (sec), leaf count = 41 $$\left\{\{y(x)\to \exp (-\frac{12x}{-12c_1+3x^4-4x^3+6x^2-12x+12\log (x+1)})\}\right\}$$

Maple: cpu = 0.125 (sec), leaf count = 38 $$\{y\left(x\right)={\mathrm{e}}^{-12\frac{x}{3x^4-4x^3+6x^2+12\ln (1+x)-12\mathit{\_}\mathit{C}\mathit{1}-12x}}\}$$