Functions that exhibit exponential decay behavior?

[Buffel]

Any help is appreciated, thanks.

Homework Statement

In my course of differentials equations we were given the task to model a real life system with them, we choosed something that resembles a pendulum.

Homework Equations

The Attempt at a Solution

We went to the lab and got experimental data from our system and the resulting data plot looks like a decaying exponential, but using an exponential as our rate of change results in a very complicated system of equations and I was wondering if there exists any other function that exhibits the same behavior or give up and use a linear approximation.

 

[voko]

Many functions, when multiplied by an exponential function, will look similar. Without more details on your problem, it is hard to suggest anything.