Sorry because I do not understand your wording very well (English is not my FL), so the answer to your question is yes, you can: e^(-at)*(A cos(bt) + C sin(bt)

Sorry because I do not understand your wording very well (English is not my FL), so the answer to your question is yes, you can: e^(-at)*(A cos(bt) + C sin(bt)) where b is the frequency and a the dampening. (But you might not be asking for an answer).