Logistic growth The population of a rabbit community is governedby the initial value problem                               P'(t) = 0.2 P (1 - (P)/(1200), P(0) = 50                                    a. Find the equilibrium solutions.b. Find the population, for all times t ≥ 0.c. What is the carrying capacity of the population?d. What is the population when the growth rate is a maximum?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.