Program Explanation Given information: The system of differential equation is x ′ = 9 x + y + 2 e t and y ′ = − 8 x − 2 y + t e t . Explanation: Consider matrix form of the system of differential equation as, x ′ = [ 9 1 − 8 − 2 ] x + [ 2 e t t e − t ] ........ (1) Therefore, linear trial particular solution is in the form as, x p ( t ) = a 1 e t + b 1 t e t y p ( t ) = a 2 e − t + b 2 t e t The value of x ′ p ( t ) and y ′ ( p ) x ′ p ( t ) = ( a 1 + b 1 ) e t + b 1 t e t y ′ ( p ) = ( a 2 + b 2 ) e t + b 2 t e t Solve equation (1) by substituting the valueof x p ( t ) , y p ( t ) . [ ( a 1 + b 1 ) e t + b 1 t e t ( a 2 + b 2 ) e t + b 2 t e t ] = [ 9 1 − 8 − 2 ] [ a 1 e t + b 1 t e t a 2 e − t + b 2 t e t ] + [ 2 e t t e t ] [ ( a 1 + b 1 ) e t + b 1 t e t ( a 2 + b 2 ) e t + b 2 t e t ] = [ 9 ( a 1 e t + b 1 t e t ) + 1 ( a 2 e − t + b 2 t e t ) − 8 (

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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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 5.7, Problem 6P

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Program Description:Purpose of problem is to find a particular solution of the system x′=9x+y+2et and y′=−8x−2y+tet by using method of undetermined coefficient also apply initial condition to verify the solution.

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Chapter 5.7, Problem 5P

Chapter 5.7, Problem 7P

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Chapter 5 Solutions

EBK DIFFERENTIAL EQUATIONS

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 find a particular solution of the system x ′ = 9 x + y + 2 e t and y ′ = − 8 x − 2 y + t e t by using method of undetermined coefficient also apply initial condition to verify the solution.

Solution Summary: The author explains that the linear trial particular solution is in the form of lx

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Program Description:Purpose of problem is to find a particular solution of the system x′=9x+y+2et and y′=−8x−2y+tet by using method of undetermined coefficient also apply initial condition to verify the solution.

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Chapter 5 Solutions