Explanation Given: The matrix is x ( t ) = [ e t 0 0 0 e t e 5 t 0 e t − e 5 t ] . Approach: A matrix is a rectangular array of numbers arranged in rows and columns where the element in the i th row and j th column is a i j . A ( t ) is differentiable at t 0 if each entry a i j ( t ) is differentiable at t 0 , and we write d A d t ( t 0 ) = A ′ ( t 0 ) : = [ a ′ i j ( t 0 ) ] . Calculation: Considering given First consider RHS [ 1 0 0 0 3 − 2 0 − 2 3 ] x = [ 1 0 0 0 3 − 2 0 − 2 3 ] [

Fundamentals Of Differential Equations And Boundary Value Problems, Books A La Carte Edition (7th Edition)

7th Edition

ISBN: 9780321977182

Author: Nagle, R. Kent, Saff, Edward B., Snider, Arthur David

Publisher: PEARSON

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 9.3, Problem 38E

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The given system x′=[10003−20−23]x.

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Chapter 9.3, Problem 37E

Chapter 9.3, Problem 39E

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Fundamentals Of Differential Equations And Boundary Value Problems, Books A La Carte Edition (7th Edition)

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To verify: The given system x ′ = [ 1 0 0 0 3 − 2 0 − 2 3 ] x .

Solution Summary: The author explains that the matrix is a rectangular array of numbers arranged in rows and columns.

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To verify:

The given system x′=[10003−20−23]x.

Want to see the full answer?

Chapter 9 Solutions

To verify: The given system x ′ = [ 1 0 0 0 3 − 2 0 − 2 3 ] x .

Solution Summary: The author explains that the matrix is a rectangular array of numbers arranged in rows and columns.

Concept explainers

Videos

To verify: The given system x′=[10003−20−23]x.

Want to see the full answer?

Chapter 9 Solutions

To verify:

The given system x′=[10003−20−23]x.