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If y (x) satisfies the differential equa...

If y (x) satisfies the differential equation `(dy)/(dx) =sin 2x + 3y cot x and y ((pi)/(2)) =2` then which of the following stattement (s) is/are correct ?

A

`y ((pi)/(6)) =0`

B

` y'((pi)/(3)) =(9-3 sqrt2)/(2)`

C

`y (x)` increases in the interval

D

`int _(-pi//2) ^(pi//2) y (x) dx =x `

Text Solution

Verified by Experts

The correct Answer is:
A, C
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