Modeling Damped Harmonic Motion

Model the equations that fit the two scenarios and use a graphing utility to graph the functions: Two mass-spring systems exhibit damped harmonic motion at a frequency of $0.5$ cycles per second. Both have an initial displacement of 10 cm. The first has a damping factor of $0.5$ and the second has a damping factor of $\mathrm{0.1.}$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Example 9