Explanation Procedure used: For finding the point of inflection of a function the points where the function’s second derivative changes sign should be found and solving it by equating to zero. Calculation: Consider the differential equation of population model. d p d t = k P − h Here, h and k are positive constants. The normal form of above differential equation is, f ( P ) = k P − h Substitute 0 for f ( P ) to find the critical points of the differential equation. 0 = k P − h P = h k The critical point of the differential equation is, P = h k The equilibrium solution of equation is

Differential Equations with Boundary-Value Problems (MindTap Course List)

9th Edition

ISBN: 9781305965799

Author: Dennis G. Zill

Publisher: Cengage Learning

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 2.1, Problem 39E

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The time at which the population extinct as per the model.

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Chapter 2.1, Problem 38E

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Differential Equations with Boundary-Value Problems (MindTap Course List)

Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - dydx=1xy (a) y(0) = 0 (b) y(1) = 0 (c) y(2) = 2...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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The time at which the population extinct as per the model.

Solution Summary: The author explains the procedure used for finding the point of inflection of a function and solving it by equating to zero.

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The time at which the population extinct as per the model.

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