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Answer: In Exercises 53-60. find the particular solution

Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence ISBN: 9780131871410 187

Solution for problem 60 Chapter 5.5

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Problem 60

In Exercises 53-60. find the particular solution of each system of differemial equations thlll satisfies the given initial conditions. 60 )'; = 5)'t - 2)'2 - 2y; y; = 18yt - 7yz - 6y3 y~ = -6yt + 2yz + '3with Yt(O) = 4, yz(O) = 5. )'3(0) = 8

Step-by-Step Solution:
Step 1 of 3

1.3​ ​Solving​ ​Equations Definition:​ ​two​ ​equations​ ​are​ ​​equivalent​ ​​if​ ​they​ ​share​ ​the​ ​same​ ​solutions. Definition:​ ​a,​ ​b,​ ​c​​ ​​∈​​ ​R 1. a​ ​=​ ​b​ i​ s​ ​​Equivalent​ ​​to​ ​a​ ​+​ ​c​ ​=​ ​b​ ​+​ ​c 2. a​ ​=​ ​b​ ​​ quivalent​ ​t ​ o​ ​ac​ ​=​ ​b​ c≠0) Example:​ ​y​ ​+​ ​4.3​ ​=​ ​11.2→​ ​y​ ​=​ ​11.2​ ​-​ ​4.3​ ​→​ ​ ​y​ ​=​ ​6.9 Definition:​ ​​Linear​ ​Equation:​​ ​​ ​​ ​T ​ ypes​ o ​ f​ ​Solutions: 1.​ ​​ ​​ ​​ ​​ ​​ ​Solution​ ​set​ i​ s​ ​R,​ ​identity Example:​ ​2x​ ​+​ ​2​ → ​ ​ ​0​ ​=​ ​0 2.​ ​​ ​​​ olution​ s ​ et​ ​is​​ ​,​ ​contradiction Example:​ ​x​ + ​ ​​ ​ ​=​ ​​ ​ ​3​ ​​ ​x​ ​=​ ​ ​ ​→​ ​0​ ​=​ ​1 3.​ ​​ ​​​ nique​ ​solution,​ ​c

Step 2 of 3

Chapter 5.5, Problem 60 is Solved
Step 3 of 3

Textbook: Elementary Linear Algebra: A Matrix Approach
Edition: 2
Author: Lawrence E. Spence
ISBN: 9780131871410

Elementary Linear Algebra: A Matrix Approach was written by and is associated to the ISBN: 9780131871410. The answer to “In Exercises 53-60. find the particular solution of each system of differemial equations thlll satisfies the given initial conditions. 60 )'; = 5)'t - 2)'2 - 2y; y; = 18yt - 7yz - 6y3 y~ = -6yt + 2yz + '3with Yt(O) = 4, yz(O) = 5. )'3(0) = 8” is broken down into a number of easy to follow steps, and 50 words. This textbook survival guide was created for the textbook: Elementary Linear Algebra: A Matrix Approach, edition: 2. The full step-by-step solution to problem: 60 from chapter: 5.5 was answered by , our top Math solution expert on 12/27/17, 07:57PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 34 chapters, and 2741 solutions. Since the solution to 60 from 5.5 chapter was answered, more than 258 students have viewed the full step-by-step answer.

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Answer: In Exercises 53-60. find the particular solution