If y=sin(sinx) , prove that (d^2y)/(dx^2...

If `y=sin(sinx)` , prove that `(d^2y)/(dx^2)+tanxdot(dy)/(dx)+y\ cos^2x=0` .

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If y=(sin^(-1)x)^2 then prove that (1-x^(2))(d^2y)/(dx^2)-x(dy)/(dx)-2...
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If y=A e^(-k t)cos(p t+c), then prove that (d^2y)/(dt^2)+2k(dy)/(dx)+n...
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