3.705   ODE No. 705

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{(\ln \left(y\left(x\right)\right)+x+x^3+x^4)y\left(x\right)}{x}=0}}$$

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

Mathematica: cpu = 0.061508 (sec), leaf count = 30 $$\left\{\{y(x)\to x^x{e}^{c_{1}x+\frac{x^4}{3}+\frac{x^3}{2}}\}\right\}$$

Maple: cpu = 0.172 (sec), leaf count = 24 $$\{y\left(x\right)={\mathrm{e}}^{\frac{x^4}{3}}{\mathrm{e}}^{\frac{x^3}{2}}{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}x}{x}^x\}$$