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
icon
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
()
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 ()
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax