3.751   ODE No. 751

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

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

Mathematica: cpu = 0.078010 (sec), leaf count = 30 $$\left\{\{y(x)\to (x+1{)}^x{e}^{c_{1}x+\frac{x^3}{2}-x^2}\}\right\}$$

Maple: cpu = 0.093 (sec), leaf count = 26 $$\{y\left(x\right)=\frac{{(1+x)}^x{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}x}}{{\mathrm{e}}^{x^2}}{\mathrm{e}}^{\frac{x^3}{2}}\}$$