b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic growth equation dp/dt = 0.2 p [1 - (p/200)]. The solution is: P = O Option 2 p= e 0.2 t A+ Be-0.2 t e-0.2 t A + Be 0.2 t O Option 3 P = р Option 1 0.2 t e A+ Be 0.2 t None of the above p= A (1 + 0.2 t) Option 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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b. Let P (t) is the population of a certain animal species. Assume that P(t)
satisfies the logistic growth equation dp/dt = 0.2 p [1 - (p/200)]. The solution is:
P =
Р
Option 2
p =
O Option 3
P =
0.2 t
e
A+ Be-0.2 t
Option 1
-
A + Be 0.2 t
e-
0.2 t
0.2 t
e
A+ Be 0.2 t
None of the above
p = A (1 + 0.2 t)
e
O Option 4
Transcribed Image Text:b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic growth equation dp/dt = 0.2 p [1 - (p/200)]. The solution is: P = Р Option 2 p = O Option 3 P = 0.2 t e A+ Be-0.2 t Option 1 - A + Be 0.2 t e- 0.2 t 0.2 t e A+ Be 0.2 t None of the above p = A (1 + 0.2 t) e O Option 4
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