Let y=y(x) be the solution of the differential equation (2 x log_e x) (d y)/(d x)+2 y=3/x log_e x, x>0 and y(e^-1)=0. Then, y(e) is equal to

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