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Let y = y(x) be the solution of the differential equation ( ) ( ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π ∈ − + = 2 , 0 x , x tan x sin x sec x sin y x tan dx dy satisfying the condition y ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 4 = 2. Then y ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 3 is

1. ) 3 log 2 ( 3 e +
2. ) 3 log 2 1 ( 3 e +
3. ) 3 log 2 ( 2 3 e +
4. ) 3 log 2 ( 3 e +

Correct answer: ) 3 log 2 ( 3 e +

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