PART 1. Find the constant solutions of this differential equation. • If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). Enter NONE if there are no constant solutions. a. Constant Solution(s): y PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing / concave up / concave down. • Type your answers using interval notation. If necessary, use a capital U to denote union Use -INF and INF to denote -∞ and ∞o. Enter NONE if the solution curves do not display that behavior on any interval. ● ● ● a. Increasing: (0,∞ ) b. Decreasing: (-∞,0) c. Concave Up: (-∞,0) U (0,∞) d. Concave Down: NONE PART 3. Determine the long-term behavior for the solution corresponding to each initial condition: a. y(0) = 9 increases without bound b. y(0) = 8 increases without bound c. y(0) = -7 decreases without bound ◆ ◆ ()

PART 1. Find the constant solutions of this differential equation. • If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). Enter NONE if there are no constant solutions. a. Constant Solution(s): y PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing / concave up / concave down. • Type your answers using interval notation. If necessary, use a capital U to denote union Use -INF and INF to denote -∞ and ∞o. Enter NONE if the solution curves do not display that behavior on any interval. ● ● ● a. Increasing: (0,∞ ) b. Decreasing: (-∞,0) c. Concave Up: (-∞,0) U (0,∞) d. Concave Down: NONE PART 3. Determine the long-term behavior for the solution corresponding to each initial condition: a. y(0) = 9 increases without bound b. y(0) = 8 increases without bound c. y(0) = -7 decreases without bound ◆ ◆ ()

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

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