Use the differential equation below to answer the following questions: y = -3y 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: b. Decreasing: c. Concave Up: d. Concave Down: PART 3. Determine the long-term behavior for the solution corresponding to each initial condition: Choose one Choose one a. y(0) = 4 b. y(0) = 2 c. y(0) = 2 Choose one
Use the differential equation below to answer the following questions: y = -3y 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: b. Decreasing: c. Concave Up: d. Concave Down: PART 3. Determine the long-term behavior for the solution corresponding to each initial condition: Choose one Choose one a. y(0) = 4 b. y(0) = 2 c. y(0) = 2 Choose one
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Use the differential equation below to answer the following questions:
y = -3y
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:
b. Decreasing:
c. Concave Up:
d. Concave Down:
PART 3. Determine the long-term behavior for the solution corresponding to each
initial condition:
a. y(0) = 4
b. y(0) = 2
c. y(0) = -2
Choose one
Choose one
Choose one
(2)
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