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Eliminate A and B, y = Ae^(x) + Be^(-x)...

Eliminate A and B, `y = Ae^(x) + Be^(-x)`

Text Solution

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The correct Answer is:
`y_(2) - y = 0 `
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Knowledge Check

  • The differential equation obtained by eliminating constants A and B from y=Ae^(2x)+Be^(-(x)/(2)) is -

    A
    `2 (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0`
    B
    `(d^(2)y)/(dx^(2))-3(dy)/(dx)+2y=0`
    C
    `2(d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0`
    D
    `(d^(2)y)/(dx^(2))+3(dy)/(dx)+2y=0`

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