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Q.The solution of the differential equation dydx+ytanx=cos2x\dfrac{dy}{dx} + y \tan x = \cos^2 x is

a
ysecx=12(sinx+tanx)+Cy \sec x = \dfrac{1}{2} (\sin x + \tan x) + C
b
ysecx=12sin2x+Cy \sec x = \dfrac{1}{2} \sin 2x + C
c
ycosx=12(sinx+tanx)+Cy \cos x = \dfrac{1}{2} (\sin x + \tan x) + C
d
ysinx=12cos2x+Cy \sin x = \dfrac{1}{2} \cos 2x + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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