The differential equation of the family ...

The differential equation of the family of curves `y=Ae^(x)+be^(-x)`, where A and B are arbitrary constant is

A

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

B

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

C

`(dy)/(dx)+y=0`

D

`(dy)(dx)-y=0`

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The correct Answer is:

B

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