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If the differential equation satisfied by `y = A sin(98 x) + B cos (98x)` is `y_(2) + cy = 0` then the value of c is__________.

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Knowledge Check

  • The differential equation whose solution is y=A sin x + B cos x , is

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

  • Solution of the differential equation cos x cos y dy -sin x sin y dx=0 is

    A
    sin y cos x=c
    B
    sin y= c cosx
    C
    cos y sin x=c
    D
    cos y=c sinx

  • Solution of the differential equation sin x. cos y dy + cos x. sin y dx = 0 is

    A
    sin x + sin y = C
    B
    cos x + cos y = C
    C
    sin x . Sin y = C
    D
    `(sin x)/(sin y) = C`

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