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...
icon
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

 

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
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
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning