3. Consider the following two-dimensional system of first-order ODES: (*) = (² 3) (+). (a) Obtain the general solution by first calculating the eigenvalues and eigenvectors of the matrix. (b) Identify and classify the fixed point. Sketch the phase portrait.
3. Consider the following two-dimensional system of first-order ODES: (*) = (² 3) (+). (a) Obtain the general solution by first calculating the eigenvalues and eigenvectors of the matrix. (b) Identify and classify the fixed point. Sketch the phase portrait.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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