3.118   ODE No. 118

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

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

Mathematica: cpu = 0.010501 (sec), leaf count = 13 $$\left\{\{y(x)\to e^{e^{c_1}x}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 8 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}x}\}$$