Question

In a certain isolated population p (t) the rate of population growth equation is equal to equation, where k and ɛ are both positive constants. If p (0) = 1, then find the limiting population as t→ ∞.

24 Feb 2025
Answer :
Word Count : 246
We are given the differential equation: \[ \frac{dp}{dt} = p - \frac{k}{\varepsilon} p^2 \] ### Step 1: Find the Equilibrium Points To determine the limiting population as \( t \to \infty \), we set \( \frac{dp}{dt} = 0 \): \[ p ___ __________ ________ _________ __________ _____.
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