Find the differential equation of the fa...

Find the differential equation of the family of curves, `x=A\ cos n t+Bsinn t ,` where A and B are arbitrary constants.

A

`(d^2 y) /( dx^2) - alpha ^2 Y =0`

B

` ( d^2 y) /( dx^2 ) + alpha ^2 Y =0`

C

` (d^2 y) /( dx^2)+ alpha Y=0`

D

` (( d^2 y)/( dx^2)) - alpha Y=0`

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The correct Answer is:

B

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