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Question

Mathematics Question on Derivatives

If dydx+2y=sin2x\frac{dy}{dx} +2y = sin 2x and y(0)=34y(0) = \frac{3}4 , then y(π8)y (\frac{π}{8}) is equal to:

A

eπ8e^{\frac{\pi}{8}}

B

eπ6e^{\frac{\pi}{6}}

C

eπ4e^{\frac{-\pi}{4}}

D

None

Answer

eπ4e^{\frac{-\pi}{4}}

Explanation

Solution

The Correct answer is option is (C) : eπ4e^{\frac{-\pi}{4}}