The differential equation of the family ...

The differential equation of the family of curves `y=e^x(Acosx+Bsinx),`
where `A` and `B` are arbitrary constants is

A

(a) `y''-2y'+2y=0`

B

(b) `y''+2y'-2y=0`

C

(c) `y''+y'^2+y=0`

D

(d) `y''+2y'-y=0`

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The correct Answer is:

A

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