Concept explainers
To graph : the solutions that satisfy the initial conditions.
Explanation of Solution
Given information :
From the direction field provided in the question it can be observed that the solution of differential equation is
Graph :
From the direction field provided in the question it can be observed that,
The solution of differential equation is
So now for the initial conditions, change the y- intercept according to the question,
Now for the graph substitute the constant
Start by computing the slope at several points in the following table:
x | 0 | 0 | 0 | |||
y | 0 | 0 | 0 | |||
0 | 0 | 0 | 0 | 0 | 0 |
The graph is obtained as:
Interpretation : from the above graph it can be observed that the y -intercept change according to the initial conditions.
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