opulation P(t) in a forest, where the time unit is per cic equation dP 1 P(2500 – P]. dt 2500 n by the method for Berboulli Equation. were 100 animals. How long will the population of the
opulation P(t) in a forest, where the time unit is per cic equation dP 1 P(2500 – P]. dt 2500 n by the method for Berboulli Equation. were 100 animals. How long will the population of the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
I think I got part a (I included my work), but I’m not sure if it’s correct or how you would use that to solve part b
![pars
= 7500 PL2500-P] =P-2500 pz
- P= - 2500 P2
2500 (-1)
alt tu= 7500
MW)=e
dxe u= 7500 e^
%3D
U= Z509
+ce
P- B00 + ce*
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Transcribed Image Text:pars
= 7500 PL2500-P] =P-2500 pz
- P= - 2500 P2
2500 (-1)
alt tu= 7500
MW)=e
dxe u= 7500 e^
%3D
U= Z509
+ce
P- B00 + ce*
1)
Transcribed Image Text:8. The growth of an animal population P(t) in a forest, where the time unit is per
year, is described by a logistic equation
dP
1
P(2500 – P).
dt
2500
(a) Solve the differential equation by the method for Berboulli Equation.
(b) Suppose that initially there were 100 animals. How long will the population of the
animals be doubled?
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