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B) In the study of population dynamics, one of the most famous models for limited population growth is the equation logistics: dP dt P(a - bp) where, a, b are positive constants. Solve the differential equation above. (Hint: Consider Bernoulli's equation.)

B) In the study of population dynamics, one of the most famous models for limited population growth is the equation logistics: dP dt P(a - bp) where, a, b are positive constants. Solve the differential equation above. (Hint: Consider Bernoulli's equation.)

Advanced Engineering Mathematics
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) In the study of population dynamics, one of the most famous models for limited population growth is the equation logistics: dP dt P(a - bp) where, a,b are positive constants. Solve the differential equation above. (Hint: Consider Bernoulli's equation)
Transcribed Image Text:B) In the study of population dynamics, one of the most famous models for limited population growth is the equation logistics: dP dt P(a - bp) where, a,b are positive constants. Solve the differential equation above. (Hint: Consider Bernoulli's equation)
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