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
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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: 

  1. Evaluation of one of the questions above along with a brief explanation of which method you used.
  2. Make sure you show all of your work. 
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.
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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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: 

  1. Evaluation of one of the questions above along with a brief explanation of which method you used.
  2. Make sure you show all of your work. 
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.
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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