Program Explanation Given information: The coefficient matrix has been given A = [ 47 − 8 5 − 5 − 10 32 18 − 2 139 − 40 − 167 − 121 − 232 64 360 248 ] Explanation : Consider the following initial value problem A = [ 47 − 8 5 − 5 − 10 32 18 − 2 139 − 40 − 167 − 121 − 232 64 360 248 ] The eigen values of the given coefficient matrix are λ = 16, 64, 32, 48 Using linear system x ' = A x to convert coefficient matrix into linear equations x 1 (t) = 47x 1 -8x 2 +5x 3 -5x 4 ; x 2 (t) = -10x 1 +32x 2 +18x 3 -2x 4 ; x 3 (t) = 139x 1 -40x 2 -167x 3 -121x 4 ; x 4

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

5th Edition

ISBN: 9780321816252

Author: C. Henry Edwards, David E. Penney, David Calvis

Publisher: PEARSON

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Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.

Question

Chapter 5.2, Problem 48P

Program Plan Intro

Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

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Chapter 5.2, Problem 47P

Chapter 5.2, Problem 49P

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Chapter 5 Solutions

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

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Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

Solution Summary: The author explains how to write a code to find the eigenvalues of given coefficient matrix. The general solution is in the scaler form.

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Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

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Chapter 5 Solutions