Fundamentals of Differential Equations [With CDROM] - 7th Edition

7th Edition

ISBN: 9780321410481

Author: Saff, Edward B., Snider, Arthur David, Nagle, R. Kent

Publisher: Addison Wesley

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Chapter 5.4, Problem 17E

In Problems 15-18, find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12).

d x d t = 2 x + 13 y , d y d t = − x − 2 y

Chapter 5.4, Problem 17E, In Problems 15-18, find all critical points for the given system. Then use a software package to

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Chapter 5.4, Problem 16E

Chapter 5.4, Problem 18E

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Fundamentals of Differential Equations [With CDROM] - 7th Edition

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In Problems 15-18 , find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12 ). d x d t = 2 x + 13 y , d y d t = − x − 2 y

Solution Summary: The author explains that the critical point for the given system is (0,0) and the direction field in the phase plane is shown in figure (2).

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