Assume that the population of a species grows according to the model dP — 2(Р— 2) (100 — Р). dt (3.1) Draw the phase line of the system. (3.2) Explain how the population behaves, for the following initial values: (a) P(0) = 1; (b) P (0) = 50; (с) Р () — 150.

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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.