DIFFERENTIAL EQUATION (6²-2xy²) dy 1. (2y³ +4²) dx = 1 2. 2yy" + (y)² = 0 3. (2xy) dx + (y² + x²)dy = 0 4. x² + y² = xy dx 5. (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0 dx 6. y²; + 2xy =sin sin y dy 7. (y³3y + 2)√9+ x²dx + x²dy = 0 TYPE a. Variable-separable b. Homogeneous c. Exact d. Inexact e. Linear f. Bernoulli g. Second-order (dependent variable missing) h. Second-order (independent variable missing)
DIFFERENTIAL EQUATION (6²-2xy²) dy 1. (2y³ +4²) dx = 1 2. 2yy" + (y)² = 0 3. (2xy) dx + (y² + x²)dy = 0 4. x² + y² = xy dx 5. (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0 dx 6. y²; + 2xy =sin sin y dy 7. (y³3y + 2)√9+ x²dx + x²dy = 0 TYPE a. Variable-separable b. Homogeneous c. Exact d. Inexact e. Linear f. Bernoulli g. Second-order (dependent variable missing) h. Second-order (independent variable missing)
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
Match the following differential equations and their type. The differential equations may be classified as
more than one type.
Transcribed Image Text:1.
DIFFERENTIAL EQUATION
(2y³ + 4² ) dx = 1
(6²-2xy²) dy
2. 2yy" + (y)² = 0
(2xy) dx + (y² + x²)dy = 0
4. x² + y² = xy
dx
5. (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0
dx
6. y²; + 2xy =sin sin y
dy
7. (y³3y + 2)√9+ x²dx + x²dy = 0
TYPE
a. Variable-separable
b. Homogeneous
c. Exact
d. Inexact
e. Linear
f. Bernoulli
g. Second-order (dependent variable missing)
h. Second-order (independent variable missing)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning