(a) what is the period of the forced oscillation? what is the numerical value (modulo 2π) of the angle α defined by (4)?
(b) in this question you are asked to modify the file lab06ex1.m in order to plot the complementary solution of (1), that is, the first term in (2). first define in the file the angle α (alpha) using (4), then evaluate the complementary solution yc by subtracting the quantity c cos(ωt − α) from the numerical solution y. plot the resulting quantity. does it look like an exponentially decreasing oscillation? why or why not? include the modified m-file and the corresponding plot.