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Solution: Use the Modified Euler method to approximate the solutions to each of the

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

Solution for problem 2 Chapter 5.4

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 2

Use the Modified Euler method to approximate the solutions to each of the following initial-value problems and compare the results to the actual values. a. y' = e'~y , 0 < t < 1, ^(O) = 1, with h = 0.5; actual solution ^(r) = ln(e' + e 1). b. v'=, I < r < 2, y(l) = 2, with/? = 0.5; actual solution y(r) = v'r2 + 2r + 6 1. I +>- c. y' = y + ry1/2 , 2 < r < 3, y(2) = 2, with h = 0.25; actual solution y(r) = (r - 2 + -Jlee-"2 ) 2 . d. y' r _2(sin2r 2ry), I < r < 2, y(l) 2, with h 0.25; actual solution y(r) = 4 4- cos 2 cos 2

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Step 1 of 3

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Step 2 of 3

Chapter 5.4, Problem 2 is Solved
Step 3 of 3

Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

The full step-by-step solution to problem: 2 from chapter: 5.4 was answered by , our top Math solution expert on 03/16/18, 03:24PM. The answer to “Use the Modified Euler method to approximate the solutions to each of the following initial-value problems and compare the results to the actual values. a. y' = e'~y , 0 < t < 1, ^(O) = 1, with h = 0.5; actual solution ^(r) = ln(e' + e 1). b. v'=, I < r < 2, y(l) = 2, with/? = 0.5; actual solution y(r) = v'r2 + 2r + 6 1. I +>- c. y' = y + ry1/2 , 2 < r < 3, y(2) = 2, with h = 0.25; actual solution y(r) = (r - 2 + -Jlee-"2 ) 2 . d. y' r _2(sin2r 2ry), I < r < 2, y(l) 2, with h 0.25; actual solution y(r) = 4 4- cos 2 cos 2” is broken down into a number of easy to follow steps, and 130 words. Since the solution to 2 from 5.4 chapter was answered, more than 240 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. Numerical Analysis was written by and is associated to the ISBN: 9781305253667.

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