3.764   ODE No. 764

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

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

Mathematica: cpu = 0.104013 (sec), leaf count = 50 $$\left\{\{y(x)\to (x+1{)}^{\frac{1}{x}}{e}^{-\frac{c_1}{x}+\frac{x^3}{4}-\frac{x^2}{3}+\frac{x}{2}-\frac{25}{12x}-1}\}\right\}$$

Maple: cpu = 0.093 (sec), leaf count = 36 $$\{y\left(x\right)={\mathrm{e}}^{\frac{x^3}{4}}{\mathrm{e}}^{-\frac{x^2}{3}}{\mathrm{e}}^{\frac{x}{2}}\sqrt[x]{1+x}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}}{\mathrm{e}}^{-1}\}$$