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Problem 1: Consider a time-varying population that follows thelogistic population model. The population has a limiting populationof 800, and at time t = 0, its population of 200 is growing at a rateof 60 per year.a) Write a differential equation for the population P(t) that models this scenario.Solution:[Insert your math/explanation here.]b) Identify an appropriate solution technique and solve this differential equation.Solution:[Insert your math/explanation here.]c) Use MATLAB to plot your solu
Problem 1: Consider a time-varying population that follows thelogistic po…
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