A body oscillates with simple harmonic m...

A body oscillates with simple harmonic motion according to the equation, `x=6" "cos" "3(pit+pi/9)`. The differential equation represented by the equation is

A

`(d^2x)/(dt^2)=3x`

B

`(d^2x)/(dt^2)=-2pix`

C

`(d^2x)/(dt^2)=-9pi^2x`

D

`(d^2x)/(dt^2)=-9pix`

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The correct Answer is:

C

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