Example : y' %3D ху Answer : Separable, Y = x dx 1. y': 2. y' = x + y 3. y' 3D Ln (ху) Ln x + x 4. y' : Ln y + y 5. y' = ye#inx+cosy 6. y' = Ln (x') 7. y' = stn(x') 8. y' = y sin x + xy ху +у 9. y' = 2x – 3xy 10. y'%3 ху- 2х +у-2
Example : y' %3D ху Answer : Separable, Y = x dx 1. y': 2. y' = x + y 3. y' 3D Ln (ху) Ln x + x 4. y' : Ln y + y 5. y' = ye#inx+cosy 6. y' = Ln (x') 7. y' = stn(x') 8. y' = y sin x + xy ху +у 9. y' = 2x – 3xy 10. y'%3 ху- 2х +у-2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Below are ten differential equations. Some can be solved by the separable variables method
and some others don't. You don't have to solve any of them. For each one, just classify it as separable or not
separable and justifies in the case of separable variables showing how the DE can be solved.
Note: Solve what is requested for the 10 equations, as shown in the example
Transcribed Image Text:Example : y' = xy
Answer :
Separable, = x dx
y
1.y' =
1. y' :
2. y' = x +y
3. y' = Ln (xy)
Ln x + x
Ln y + y
5. y' = ye#inx+cosy
6. y' = Ln (x³)
7. y' = sin(x')
8. y' = y sin x + xy
ху +у
9. y' =
2х - Зху
10. y' %3D ху — 2х +у-2
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