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A function y=f (x) satisfies the differe...

A function y=f (x) satisfies the differential equation `f(x) sin 2x-cos x+(1 + sin^2x)f'(x)= 0` with initial condition `y(0)=0`. The value of `f(pi/6)` is equal to (A) `1/5` (B) `3/5` (C) `4/5` (D) `2/5`

A

`2/5`

B

`3/5`

C

`1/5`

D

`4/5`

Text Solution

Verified by Experts

The correct Answer is:
A
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