Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 9 - Section 9.2 - Direction Fields and Euler''s Method - 9.2 Exercises - Page 598: 3

Answer

III

Work Step by Step

y=2 is an equilibrium solution as y' equals 0. When y < 2, slopes are positive and increase as y goes to -infinity. When y > 2, slopes are negative and decrease as y goes to infinity. The direction field illustrates an autonomous differential equation as each x value in the direction field graph has the same slope.
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