To explain : how the Euler’s method works
Answer to Problem 4RCC
The Euler’s approximation is
Explanation of Solution
Given information : The question is
To explain the Euler’s method
Euler’s method uses the fact that for first order differential equations it is generally easy to find the slope of the solution at any point. So then after, choosing a starting point using this method and the slope, we keep chasing the solution curve by approximating it with short linear equation.
This method also uses steps means where the value of the step devices how short or long the many linear equations that approximate the solutions are needles to say the shorter the linear approximation the better the approximation
Euler’s approximation
Where
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