Quiz Prep - Qualitative Logistic

markmark
edited August 2020 in Problems

Consider the IVP
$$
P' = 4P(100-P),\: \: P(0)=2.
$$

  1. Identify the equilibrium solutions
  2. Is a function between the equilibria increasing or decreasing?
  3. Use the above information to sketch a rough graph of the solution of the IVP, together with the two equilibrium solutions.

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