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

If `y(x)` satisfies the differential equation `y^(prime)-ytan(x)=2x sec(x)` and `y(0)=0` , then

A

A) `y((pi)/(4))=(pi^(2))/(8sqrt2)`

B

B) `y'((pi)/(4))=((pi^(2))/(18))`

C

C) `y((pi)/(3))=((pi^(2))/(9))`

D

D) `y'((pi)/(3))=(4pi)/(3)+(2pi^(2))/(3sqrt3)`

Verified by Experts

The correct Answer is:

D

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