Concept explainers
a.
To show : Every member of the family of function
a.
Explanation of Solution
Given information :
Given differential equation
Formula used :
If
Calculation :
Differentiating boy sides with respect to
Therefore,
b.
To illustrate : part (a) by graphing several members of the family of solution on common screen.
b.
Explanation of Solution
Given information :
Solution of the given differential equation is
Concept used :
We draw several graph of the solution for different value of
Graph :
Interpretation :
c.
To find : The solution of differential equation which satisfy the initial condition
c.
Answer to Problem 6E
Explanation of Solution
Given information :
Given differential equation
Concept used :
We put
Calculation :
We have,
d.
To find : The solution of differential equation which satisfy the initial condition
d.
Answer to Problem 6E
Explanation of Solution
Given information :
Given differential equation
Concept used :
We put
Calculation :
We have,
Chapter 7 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning