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The population of the fish in the pond has the growth rate is describe as the following model dP = k(M- P), k is positive constant. Find the general curve and describe the rate of change of the dt population when P-M, P>M, P

The population of the fish in the pond has the growth rate is describe as the following model dP = k(M- P), k is positive constant. Find the general curve and describe the rate of change of the dt population when P-M, P>M, P

Advanced Engineering Mathematics
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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The population of the fish in the pond has the growth rate is describe as the following model dP = k(M- P), k is positive constant. Find the general curve and describe the rate of change of the dt population when P-M, P>M, P<M There are 250 fishes in the pond that only carry 200 fish. After 5 months, there are 220 fishes. Find k and C In the long run, will the pond become none fish? Justify
Transcribed Image Text:The population of the fish in the pond has the growth rate is describe as the following model dP = k(M- P), k is positive constant. Find the general curve and describe the rate of change of the dt population when P-M, P>M, P<M There are 250 fishes in the pond that only carry 200 fish. After 5 months, there are 220 fishes. Find k and C In the long run, will the pond become none fish? Justify
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