Consider the differential equation dP/dt=P (P−1) (2−P) which represents the rate of change in the population of Minks where the population (in thousands) can be described in terms of time t. (a) Based on the equilibrium solutions make a rough sketch of possible solution curves. (b) If P(0)=1.5, describe the solution P(t) as P→∞. (c) If P(0)=0.5, describe the solution P(t) as P→∞. (d) Can a population of 900 ever increase to 1100?

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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.