Use the differential equation below to answer the following questions: y = y-2 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 ∞. 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) = 5 b. y(0) = 1 c. y(0) = -1 Choose one ✪
Use the differential equation below to answer the following questions: y = y-2 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 ∞. 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) = 5 b. y(0) = 1 c. y(0) = -1 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 91E
Related questions
Question
![Use the differential equation below to answer the following questions:
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.
1
y = y-2
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) = 5
b. y(0) = 1
c. y(0) = −1
Choose one
Choose one
Choose one
()](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d219c4c-b118-4b8d-bfd2-5f7c569193e5%2F826f3e2d-4d95-4e23-80f9-b96f6381fba7%2Fxpte87d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the differential equation below to answer the following questions:
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.
1
y = y-2
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) = 5
b. y(0) = 1
c. y(0) = −1
Choose one
Choose one
Choose one
()
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