Concept explainers
In Problems 1 and 2, use the method of successive substitutions to approximate a solution of the given equation starting with the given value for
To find:
The approximate solution of the given equation
Answer to Problem 1RP
Solution:
The approximate solution of the given equation is
Explanation of Solution
Given:
The equation is,
The starting value is
Approach:
The procedure to determine the approximate solution for a function
a. Determine the recurrence relation as,
b. Start with the initial approximation
c. Continue the step (b) to obtain a sequence of approximations
This method is called successive substitution method.
Calculation:
The given equation is,
The recurrence relation for the given equation is,
The initial value is
Substitute
Substitute
Substitute
Substitute
Substitute
As both the values
Conclusion:
Hence, the approximate solution of the given equation is
Want to see more full solutions like this?
Chapter 13 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education