ts. For what initial values P(0) = P0 does this model

Chapter 2, Problem 39E

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QUESTION:

Population Model Another population model is given by

\(\frac{d P}{d t}=k P-h\)

where h and k are positive constants. For what initial values \(P(0)=P_{0}\) does this model predict that the population will go extinct?

Text Transcription:

dP/dt=kP-h

P(0)=P_0

Questions & Answers

QUESTION:

Population Model Another population model is given by

\(\frac{d P}{d t}=k P-h\)

where h and k are positive constants. For what initial values \(P(0)=P_{0}\) does this model predict that the population will go extinct?

Text Transcription:

dP/dt=kP-h

P(0)=P_0

ANSWER:

Step 1 of 5

Given that

We have to find that for what initial values P(0) = .  Does this model predict that the population will go extinct?

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