Program Explanation Given information: The coefficient matrix has been given x ' = [ 35 − 12 4 30 22 − 8 3 19 − 10 3 0 − 9 − 27 9 − 3 − 23 ] x The eigenvalues are given λ = 1, 1, 1, 1 Explanation : Consider the following initial value problem x ' = [ 35 − 12 4 30 22 − 8 3 19 − 10 3 0 − 9 − 27 9 − 3 − 23 ] x The given system has been written into the matrix form x ' = A x Where coefficient matrix (A) is A = [ 35 − 12 4 30 22 − 8 3 19 − 10 3 0 − 9 − 27 9 − 3 − 23 ] convert coefficient matrix into linear equations x 1 ' = − x 1 +x 2 + x 3 − 2 x 4 x 2 ' = 7 x 1 -4x 2 − 6 x 3 + 11 x 4 x 3 ' = 5 x 1 -1x 2 + x 3 + 3 x 4 x 4 ' = 6 x 1 -2x 2 − 2 x 3 + 6 x 4 Using MATLAB code to find the general solution of the coefficient matrix x 1 ( t ) = 42 × C 33 × exp(t) - (76 × C 34 ×

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 5.5, Problem 31P

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Write a code to find a general solution of the given system.

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Chapter 5.5, Problem 30P

Chapter 5.5, Problem 32P

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In each of Problems 5 and 6 the coefficient matrix has a zero eigenvalue. As a result, the pattern of trajectories is different from those in the examples in the text. For each system: Ga. Draw a direction field. b. Find the general solution of the given system of equations. G c. Draw a few of the trajectories. 4 -3 8 -6 5. x' = X

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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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Write a code to find a general solution of the given system.

Solution Summary: The author explains how to write a code to find the general solution of the given system in the scalar form lx_1(t)=

Write a code to find a general solution of the given system.

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Chapter 5 Solutions