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Use the Extrapolation Algorithm with tolerance TOL = 10~6 , hmax = 0.5, and hmin = 0.05

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 4 Chapter 5.8

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 4

Use the Extrapolation Algorithm with tolerance TOL = 10~6 , hmax = 0.5, and hmin = 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. , 2 2ly (2/ + 1) a. y = t2 + \ ' 0 ^ ? 5 3- >'(0) = 1; actual solution y = ^ ^ . y 2 . 1 1 ^ ^ A ./1\ /!._ 1. b. y' , 1 < t < 4, y(l) = -(In2) actual solution y(r) = . 1 + r " ln(r + 1) 4t , c. y' ty -I , 0 < ? < 1, >'(D) = 1; actual solution y(t) \/4 3e~'2 . y d. >' = > + ryl/2 , 2 < r < 4, >(2) = 2; actual solution y{r) (t 2 + \/2 e e~'/2) 2 .

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Chapter 5.8, Problem 4 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

Since the solution to 4 from 5.8 chapter was answered, more than 218 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4 from chapter: 5.8 was answered by , our top Math solution expert on 03/16/18, 03:24PM. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. The answer to “Use the Extrapolation Algorithm with tolerance TOL = 10~6 , hmax = 0.5, and hmin = 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. , 2 2ly (2/ + 1) a. y = t2 + \ ' 0 ^ ? 5 3- >'(0) = 1; actual solution y = ^ ^ . y 2 . 1 1 ^ ^ A ./1\ /!._ 1. b. y' , 1 < t < 4, y(l) = -(In2) actual solution y(r) = . 1 + r " ln(r + 1) 4t , c. y' ty -I , 0 < ? < 1, >'(D) = 1; actual solution y(t) \/4 3e~'2 . y d. >' = > + ryl/2 , 2 < r < 4, >(2) = 2; actual solution y{r) (t 2 + \/2 e e~'/2) 2 .” is broken down into a number of easy to follow steps, and 143 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10.

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Use the Extrapolation Algorithm with tolerance TOL = 10~6 , hmax = 0.5, and hmin = 0.05