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If y = y(x) is the solution of the differential equation, e y ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 1 dx dy = e x such that y(0) = 0, then y

1. is equal to :
2. 2e
3. 2 + log e 2
4. 1 + log e 2 (4) log e 2

Correct answer: 2 + log e 2

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