You will begin by selecting one of the following differential equations to construct a slope field for: 1. y' 2. y' x² cos(y) Along with your slope field you should identify the following and show you obtained: 1. Any equilibrium solutions (if there are no equilibrium solutions, state why not) 2. The regions of increasing and decreasing slopes 3. Draw two solution curves - 4x
You will begin by selecting one of the following differential equations to construct a slope field for: 1. y' 2. y' x² cos(y) Along with your slope field you should identify the following and show you obtained: 1. Any equilibrium solutions (if there are no equilibrium solutions, state why not) 2. The regions of increasing and decreasing slopes 3. Draw two solution curves - 4x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Graphing First Order Linear D.E.'s
work on problem number 2 ( y'=x^2cos(y) )on the picture please! please show all your work and upload picture of all your work!!
Include the following:
- Evaluation of one of the questions above along with a brief explanation of which method you used.
- Make sure you show all of your work.
Transcribed Image Text:Initial Post Prompt
You will begin by selecting one of the following differential equations to construct a slope field for:
1. y'
2. y = x² cos(y)
Along with your slope field you should identify the following and show you obtained:
1. Any equilibrium solutions (if there are no equilibrium solutions, state why not)
2. The regions of increasing and decreasing slopes
3. Draw two solution curves
=
4x
Y
Your slope field should be drawn by hand. You do not need to do too many slopes, but your field should demonstrate a
clear pattern in the rates of change and make it clear how you came to your solution curves.
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Follow-up Question
Graphing First Order Linear D.E.'s
Please read the instructions on the picture and work on problem number 2!
work on problem number 2 ( y'=x^2cos(y) )on the picture please! please show all your work and upload picture of all your work!!
Include the following:
- Evaluation of one of the questions above along with a brief explanation of which method you used.
- Make sure you show all of your work.
Transcribed Image Text:Initial Post Prompt
You will begin by selecting one of the following differential equations to construct a slope field for:
1. y'
2. y = x² cos(y)
Along with your slope field you should identify the following and show you obtained:
1. Any equilibrium solutions (if there are no equilibrium solutions, state why not)
2. The regions of increasing and decreasing slopes
3. Draw two solution curves
=
4x
Y
Your slope field should be drawn by hand. You do not need to do too many slopes, but your field should demonstrate a
clear pattern in the rates of change and make it clear how you came to your solution curves.
Solution
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