In: Advanced Math
Consider a vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + 1/4u' + 2u = 2 cos ωt, u(0) = 0, u'(0) = 6
(a) Determine the steady state part of the solution of this
problem.
u(t) =
(b) Find the amplitude A of the steady state solution in
terms of ω.
A =
(d) Find the maximum value of A and the frequency ω for which it occurs.