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The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution

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

Solution for problem 1 Chapter 11.3

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 1

The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution yfx) = e 2 {e4 ])_i(c2a e -2*) + x. Use the Linear Finite-Difference method to approximate the solution, and compare the results to the actual solution, a. With h = i; b. With h = \. c. Use extrapolation to approximate y(l/2).

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Chapter 11.3, Problem 1 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The full step-by-step solution to problem: 1 from chapter: 11.3 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Since the solution to 1 from 11.3 chapter was answered, more than 248 students have viewed the full step-by-step answer. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. The answer to “The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution yfx) = e 2 {e4 ])_i(c2a e -2*) + x. Use the Linear Finite-Difference method to approximate the solution, and compare the results to the actual solution, a. With h = i; b. With h = \. c. Use extrapolation to approximate y(l/2).” is broken down into a number of easy to follow steps, and 61 words.

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The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution