opulation model dP dt 2. dy dt || (t²-1)(y²-2) y²-4 = 0.4P (1-2). 230 the population at time t. values of P is the population in equilibrium? values of P is the population increasing? values of P is the population decreasing?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%

HELP ASAPPPPP!!!! 2 AND 3

In Exercises 1 and 2, find the equilibrium solutions of the differential equation speci-
fied.
dy
1. =
dt
y + 3
1-y
3. Consider the population model
dP
dt
2.
dy (t²-1)(y²-2)
dt
y2-4
= 0.4P 1
=
(1-250),
where P(t) is the population at time t.
(a) For what values of P is the population in equilibrium?
(b) For what values of P is the population increasing?
(c) For what values of P is the population decreasing?
Transcribed Image Text:In Exercises 1 and 2, find the equilibrium solutions of the differential equation speci- fied. dy 1. = dt y + 3 1-y 3. Consider the population model dP dt 2. dy (t²-1)(y²-2) dt y2-4 = 0.4P 1 = (1-250), where P(t) is the population at time t. (a) For what values of P is the population in equilibrium? (b) For what values of P is the population increasing? (c) For what values of P is the population decreasing?
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