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- What Id like to do in this video is start exploring how we can model things with the differential equations. And in this video in particular, we will explore modeling population. Modeling population. Were actually going to go into some depth on this eventually, but here were going to start with simpler models. And well see, we will stumble on using the logic of differential equations. Things that you might have seen in your algebra or your precalculus class. So, in some level, what were going to do here is going to be review, but were going to get there using the power of modeling with differential equations. So lets just define some variables. Lets say that P is equal to our population. And lets say that t is, lets say that t is equal to the time that has passed in days. In days, it could have been years or months. But lets say were doing the population of insects that reproduce quite quickly. So days seem like a nice time span to care about. Now, what would be a reason
