If x=Ae^(-(kt)/2)cos(pt+in), and A,k,p,i...

If `x=Ae^(-(kt)/2)cos(pt+in)`, and A,k,p,`in` are constants, show that `(d^2x)/(dt^2)+kdx/dt+n^2x=0`, where `n^2=p^2+1/4k^2`.

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