Let $\mathrm{y}=\mathrm{y}(\mathrm{x})$ be the solution of the differential equation $\left(2 x \log _e x\right) \frac{d y}{d x}+2 y=\frac{3}{x} \log _e x, \mathrm{x}>0$ and $\mathrm{y}\left(\mathrm{e}^{-1}\right)=0$.
Then, $y(e)$ is equal to $\_\_\_\_$ .
