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Show that y=sin (sin x) is a solution of...

Show that `y=sin (sin x)` is a solution of differential equation `(d^2y)/(dx^2)+(tan x)(dy)/(dx) +y cos^2 x=0`

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Knowledge Check

  • The solution of differential equation (dy)/(dx)-3y= sin 2x is

    A
    `y=e^(-3x) ((cos 2x+3 sin 2x)/(13))+c`
    B
    `y= e^(-3x) ((cos 2x- 3 sin 2x)/(13)) +c`
    C
    `ye^(-3x) = -w^(-3x) ((2 cos 2x + 3 sin 2x)/(13))+c`
    D
    None of these

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