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1 through 3 ask you to fill in some of the details of the

Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce ISBN: 9780470458310 168

Solution for problem 3 Chapter 9.8

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Problem 3

1 through 3 ask you to fill in some of the details of the analysis of the Lorenz equations in this section.(a) By solving Eq. (12) numerically, show that the real part of the complex roots changessign when r = 24.737.(b) Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pureimaginary zeros only if AB = C.(c) By applying the result of part (b) to Eq. (12), show that the real part of the complexroots changes sign when r = 470/19.

Step-by-Step Solution:
Step 1 of 3

F a, Lx *tr.r-)= x'-)xtZ l'(^)=tt>

Step 2 of 3

Chapter 9.8, Problem 3 is Solved
Step 3 of 3

Textbook: Elementary Differential Equations and Boundary Value Problems
Edition: 10
Author: William E. Boyce
ISBN: 9780470458310

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