What is the integrating factor of $x\log x\frac{dy}{dx} + y = 2\log x$?

Explanation

1. 01

   In the form $\frac{dy}{dx} + Py = Q$, $P = \frac{1}{x \log x}$.

2. 02

   The factor is $e^{\int P\,dx} = \log x$.