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The differential equation obtained by el...

The differential equation obtained by eliminating a and b from `y=ae^(3x)+be^(-3x)` is

A

`(d^(2)y)/(dx^(2))-9y`

B

`(d^(2)y)/(dx^(2))+9y`

C

`y''-9y=0`

D

`y'=3ae^(3x)-3be^(-3x)`

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Knowledge Check

  • The differential equation formed by eliminating A and B for the relation y = e^(x) (A cos x + B sin x) is :

    A
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    B
    `y '' - y' = 0 `
    C
    `y_(2) - 2y_(1) - 2y = 0`
    D
    `y'' + y' = 0 `

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