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If (dy)/(dx)+3/(cos^(2)x)y=1/(cos^(2)x),...

If `(dy)/(dx)+3/(cos^(2)x)y=1/(cos^(2)x),xin((-pi)/3,(pi)/3),` and `y((pi)/4)=4/3`, then `y(-(pi)/4)` equals `1/3+e^(k)`. The value of k is __________.

A

`1/3`

B

`1/3 + e^6`

C

`-4/3`

D

`1/3 + e^3`

Text Solution

Verified by Experts

The correct Answer is:
B
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