To find: The percentage error.
Answer to Problem 64E
The answer is:
Explanation of Solution
Given information:
The differential equation is:
Calculation:
To use Euler’s method to make a table as shown below
It is given that,
And the initial point
After completing each row, the point
Continue finding the
Whatever is
3 | -0.1 | -0.3 | ||
2.8 | -0.1 | -0.28 | ||
2.6 | -0.1 | -0.26 | ||
2.4 | -0.1 | -0.24 |
By Euler’s method
To find the exact value of
Put
Therefore,
So,
The percentage error is then,
Therefore the required percentage error is
Chapter 6 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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