Consider a vibrating system described by the initial valueproblem. (A computer algebra system is recommended.) u'' + 1/4u' +2u = 2 cos ?t, u(0) = 0, u'(0) = 6
(a) Determine the steady state part of the solution of thisproblem.
u(t) =
(b) Find the amplitude A of the steady state solution interms of ?.
A =
(d) Find the maximum value of A and the frequency ? forwhich it occurs.
