JEE Main 2015

JEE Main 2015 Mathematics question on Differential Equations

Let y(x)y(x) be the solution of the differential equation (xlog⁡x)dydx+y=2xlog⁡x,(x≥1)(x \log x) \frac{dy}{dx} + y = 2x \log x, (x \geq 1). Then, y(e)y(e) is equal to
  1. A.
    e
  2. B.
    0
  3. C.
    2
  4. D.
    2e
Show answer

Correct option: C

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