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If y = A sin x + B cos x, the prove that...

If `y = A sin x + B cos x`, the prove that `(d^2 y)/(dx^2) + y = 0`

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Knowledge Check

  • If y = a cos 2 x + b sin 2 x , then

    A
    `(d^(2) y) /(dx^(2)) + y= 0`
    B
    `(d^(2) y)/(dx^(2)) + 2y = 0`
    C
    `(d^(2) y)/(dx^(2)) + 3y = 0`
    D
    `(d^(2) y)/(dx^(2)) + 4y =0`

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