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JEE Math Practice Question

If y = y(x) is the solution of the differential equation, $${e^y}\left( {{{dy} \over {dx}} - 1} \right) = {e^x}$$ such that y(0) = 0, then y(1) is equal to:

  1. A.2 + loge2
  2. B.loge2
  3. C.1 + loge2
  4. D.2e

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