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JEE Math Practice Question

Let $$y(x)$$ be the solution of the differential equation $$\left( {x\,\log x} \right){{dy} \over {dx}} + y = 2x\,\log x,\left( {x \ge 1} \right).$$ Then $$y(e)$$ is equal to :

  1. A.$$2$$
  2. B.$$2e$$
  3. C.$$e$$
  4. D.$$0$$

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