An unusual bacterium has been found called Notofthisworldillius. It is especially unusual in that instead of producing two offspring, it produces three. Also, some of the bacteria die so the population growth is not a simple tripling but does work out to be proportional to the current population. Given a colony starts with 200 bacteria, after 2 hours it is found there are 12800. Form and solve a differential equation to find the population after 200 minutes.
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