Let y(x) be the solution of the differential equation

Question:

Let $y(x)$ be the solution of the differential equation $(x \log x) \frac{d y}{d x}+y=2 x \log x,(x \geq 1)$. Then $y(e)$ is equal to:

  1. 2

  2. $2 \mathrm{e}$

  3. $\mathrm{e}$

  4. 0

Correct Option: 1

Solution:

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