Forcing Function

$$R(t) = t$$
\(m\)
small large
\(c\)
  zero large
\(k\)
small large

Forced Response

$$ r(t) = \int_{0}^{t} \frac{e^{-\alpha(t-\tau)}\sin{\beta (t-\tau)}}{\beta m} R(\tau) \mathrm{d} \tau $$