3.119   ODE No. 119

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

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

Mathematica: cpu = 0.029504 (sec), leaf count = 17 $$\left\{\{y(x)\to \frac{e^{e^{c_1}x}}{x}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 14 $$\{y\left(x\right)=\frac{1}{x}{\mathrm{e}}^{\frac{x}{\mathit{\_}\mathit{C}\mathit{1}}}\}$$