Solved: Suppose that y(x) is a nonconstant solution of the autonomous equation dydx f (

Problem 33 Chapter 2.1

Differential Equations with Boundary-Value Problems | 7th Edition

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Differential Equations with Boundary-Value Problems | 7th Edition

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Problem 33

Suppose that y(x) is a nonconstant solution of the autonomous equation dydx f ( y) and that c is a critical point of the DE. Discuss. Why cant the graph of y(x) cross the graph of the equilibrium solution y c? Why cant f ( y) change signs in one of the subregions discussed on page 38? Why cant y(x) be oscillatory or have a relative extremum (maximum or minimum)?

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Chapter 2.1, Problem 33 is Solved
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

The answer to “Suppose that y(x) is a nonconstant solution of the autonomous equation dydx f ( y) and that c is a critical point of the DE. Discuss. Why cant the graph of y(x) cross the graph of the equilibrium solution y c? Why cant f ( y) change signs in one of the subregions discussed on page 38? Why cant y(x) be oscillatory or have a relative extremum (maximum or minimum)?” is broken down into a number of easy to follow steps, and 70 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 84 chapters, and 2469 solutions. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. Since the solution to 33 from 2.1 chapter was answered, more than 209 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 33 from chapter: 2.1 was answered by , our top Calculus solution expert on 03/13/18, 07:03PM.

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