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
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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*
1)
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)
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?
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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