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 Plus Mylab Math With Pearson Etext -- Title-specific Access Card Package (7th ... Fundamentals Of Differential Equations)
- 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