An intuition that maybe the phenomenon I was observing could have been described by a differential equation.

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Is what I’m thinking about a differential equation?

We have a timer that is constantly counting. We also have a words per minute calculator that displays the current speed at which we are typing. The words per minute calculator must be guided by the following equation: 60/((words typed)/(time elapsed))

We also have the number of words varying by a given equation and the time varying by a given equation.

Note that the words typed varies discreetly.