Q 1306578478.     Solve the following differential equation; `(D^{2}+5)y=cos^{2}x`

A

`y=-Ae^{-x}+Be^x-frac{1}{5} cos x+frac{2}{5}sin x`

B

`y=Ae^{-x}+Be^x-frac{1}{5}cos 2x+frac{2}{5}sin 2x`

C

`y=-Ae^{-x}+Be^x-frac{1}{5} cos 2x+frac{2}{5}sin 2x`

D

`y=Ae^{-x}+Be^x-frac{1}{5}cos x+frac{2}{5}\sin x`

HINT

using concept of `CF` & `PI` `y=CF+PI`

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