Consider the solutions from the last problem for the three cases (a), (b), and (c): (a) x(t) = a cos(wot) (b) x(t) = a exp(-ßt) [(B/w1) sin(wit)+ cos(wit)] (c) x(t) = a exp(-wot) (wot + 1) . To understand and compare these functions, use a graph- ing software to plot them in a dimensionless form, using x(t)/a as the vertical axis and = wot as the variable for the range wot = [0, 67]. In (b) take B2 = w3/9.

Consider the solutions from the last problem for the three cases (a), (b), and (c): (a) x(t) = a cos(wot) (b) x(t) = a exp(-ßt) [(B/w1) sin(wit)+ cos(wit)] (c) x(t) = a exp(-wot) (wot + 1) . To understand and compare these functions, use a graph- ing software to plot them in a dimensionless form, using x(t)/a as the vertical axis and = wot as the variable for the range wot = [0, 67]. In (b) take B2 = w3/9.