Good morning, could you help me solve the following problem?: First of all, Thanks. Find a differential equation that represents a population P(t) if the birth rate is proportional to the population present at time t but the death rate is proportional to the square of the population present at time t. Modify the above model for the net rate to which changes the population P(t) of a certain kind of fish, but also assume that the fish is harvested at a rate constant h > 0.

Good morning, could you help me solve the following problem?: First of all, Thanks. Find a differential equation that represents a population P(t) if the birth rate is proportional to the population present at time t but the death rate is proportional to the square of the population present at time t. Modify the above model for the net rate to which changes the population P(t) of a certain kind of fish, but also assume that the fish is harvested at a rate constant h > 0.

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

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Modify the above model for the net rate to
which changes the population P(t) of a certain kind of fish,
but also assume that the fish is harvested at a rate
constant h > 0.

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