Consider the differential equation y' = y² where y is considered to be a function of . 1 In this exercise, you will determine whether or not y = is a solution to the differential equation x + c for any constant c. (a) First substitute the above expression for y into the left side of the differential equation. In other words, compute y'. (b) Next substitute the above expression for y into the right side of the differential equation. In other words, compute y². 1 (c) Based on your answers to (a) and (b), can we say that y - is a solution to the differential x + c equation? O Yes O No M B
Consider the differential equation y' = y² where y is considered to be a function of . 1 In this exercise, you will determine whether or not y = is a solution to the differential equation x + c for any constant c. (a) First substitute the above expression for y into the left side of the differential equation. In other words, compute y'. (b) Next substitute the above expression for y into the right side of the differential equation. In other words, compute y². 1 (c) Based on your answers to (a) and (b), can we say that y - is a solution to the differential x + c equation? O Yes O No M B
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Related questions
Question
![Consider the differential equation
y' = y²
where y is considered to be a function of .
1
In this exercise, you will determine whether or not y =
is a solution to the differential equation
x + c
for any constant c.
(a) First substitute the above expression for y into the left side of the differential equation. In other
words, compute y'.
(b) Next substitute the above expression for y into the right side of the differential equation. In other
words, compute y².
1
(c) Based on your answers to (a) and (b), can we say that y
is a solution to the differential
x + c
equation?
O Yes
O No
Oll
→
#3
3
с
$
4
%
5
6
&
7
O
*
8
(
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe727a2e-7f05-4f92-9309-f9684914a58d%2F806647db-0d40-407b-a922-a87e4cf4f143%2F76alqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation
y' = y²
where y is considered to be a function of .
1
In this exercise, you will determine whether or not y =
is a solution to the differential equation
x + c
for any constant c.
(a) First substitute the above expression for y into the left side of the differential equation. In other
words, compute y'.
(b) Next substitute the above expression for y into the right side of the differential equation. In other
words, compute y².
1
(c) Based on your answers to (a) and (b), can we say that y
is a solution to the differential
x + c
equation?
O Yes
O No
Oll
→
#3
3
с
$
4
%
5
6
&
7
O
*
8
(
9
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage