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Let y = y(x) be the solution of the diff...

Let `y = y(x)` be the solution of the differential equation `"cosec"^(2) x dy + 2dx = (1 + y cos 2x) "cosec"^(2) x dx`, with `y((pi)/(4)) = 0`. Then the value of `(y(0) + 1)^(2)` is equal to :

A

`e^(1//2)`

B

`e^(-1//2)`

C

`e^(-1)`

D

e

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