Consider a vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + 1 4 u' + 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 = (c) Plot A versus ω. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Correct: Your answer is correct. (d) Find the maximum value of A and the frequency ω for which it occurs.