Program Explanation Given information: The system of differential equations is, x 1 ′ = x 2 + x 3 + 1 , x 2 ′ = x 3 + x 4 + t , x 3 ′ = x 1 + x 4 + t 2 and x 4 ′ = x 1 + x 2 + t 3 Explanation: The given system of differential equations is, x 1 ′ = x 2 + x 3 + 1 , x 2 ′ = x 3 + x 4 + t , x 3 ′ = x 1 + x 4 + t 2 and x 4 ′ = x 1 + x 2 + t 3 The above equation in matrix equation is written as, x ′ = [ x 1 ′ x 2 ′ x 3 ′ x 4 ′ ] = [ x 2 + x 3 + 1 x 3 + x 4 + t x 1 + x 4 + t 2 x 1 + x 2 + t 3 ] The above matrix can be written in the form of product of matrices as, x ′ = [ x 1 ′ x 2 ′ x 3 ′ x 4 ′ ] = [ 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 ] [ x 1 x 2 x 3 x 4 ] + [ 1 t t 2 t 3 ] Therefore, x ′ = [ 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 ] [ x 1 x 2 x 3 x 4 ] + [ 1 t t 2 t 3 ]

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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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

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Chapter 5.1, Problem 20P

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Program Description: Purpose of problem is to write the system of differential equations x1′=x2+x3+1,x2′=x3+x4+t,x3′= x1+x4+t2 and x4′=x1+x2+t3 in the form of x′=P(t)x+f(t) .

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Chapter 5.1, Problem 19P

Chapter 5.1, Problem 21P

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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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Program Description: Purpose of problem is to write the system of differential equations x 1 ′ = x 2 + x 3 + 1 , x 2 ′ = x 3 + x 4 + t , x 3 ′ = x 1 + x 4 + t 2 and x 4 ′ = x 1 + x 2 + t 3 in the form of x ′ = P ( t ) x + f ( t ) .

Solution Summary: The author explains that the problem is to write the system of differential equations x_1prime.

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Program Description: Purpose of problem is to write the system of differential equations x1′=x2+x3+1,x2′=x3+x4+t,x3′= x1+x4+t2 and x4′=x1+x2+t3 in the form of x′=P(t)x+f(t) .

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Chapter 5 Solutions