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If y = y(x) is the solution of the differential equation dx dy = (tan x – y) sec 2 x, x ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 2 , 2 – , such that y (0) = 0, then ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 4 – y is equal to :

1. 2 1 – e
2. e – 2
3. e 1 2 +
4. 2 – e 1

Correct answer: e – 2

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