Examine your phase portraits in Problem 51. Under what conditions will the phase portrait of a 2× 2 homogeneous linear system with complex eigenvalues consist of a family of closed curves? Consist of a family of spirals? Under what conditions is the origin (0, 0) a repeller? An attractor? Problem 51 Find phase portraits for the systems in Problems 38-40. Problems 38 Find the general solution of the given system. Problems 40 Find the general solution of the given system.
Examine your phase portraits in Problem 51. Under what conditions will the phase portrait of a 2× 2 homogeneous linear system with complex eigenvalues consist of a family of closed curves? Consist of a family of spirals? Under what conditions is the origin (0, 0) a repeller? An attractor? Problem 51 Find phase portraits for the systems in Problems 38-40. Problems 38 Find the general solution of the given system. Problems 40 Find the general solution of the given system.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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Examine your phase portraits in Problem 51. Under what conditions will the phase portrait of a 2× 2 homogeneous linear system with complex eigenvalues consist of a family of closed curves? Consist of a family of spirals? Under what conditions is the origin (0, 0) a repeller? An attractor?
Problem 51
Find phase portraits for the systems in Problems 38-40.
Problems 38
Find the general solution of the given system.
Problems 40
Find the general solution of the given system.
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