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Any help is appreciated, thanks.

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.

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.

## 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.

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