The differential equation of the curve y...

The differential equation of the curve `y=e^(x) (a cos x + b sin x)` representing the given family of curves where a and b are costants , is

A

`(d^2y )/(dx^2)=2(dy)/(dx)-y`

B

`(d^2 y) /( dx ^2) =2 ( dy )/(dx)-2y`

C

`(d^2 y) /( dx^2)=2 (dy)/(dx )-y`

D

`(d^2y)/(dx^2)=2 (dy)/(dx)+y`

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The correct Answer is:

B

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