dy dt = x + ky where k is a (real) parameter. (a) Write the system in matrix form d = AY. (b) Write the determinant and trace of A in terms of k and use these to find all values of k where the system has a bifurcation. in (c) Determine the type of equilibrium at the origin for all values of k which are not the hifungo
dy dt = x + ky where k is a (real) parameter. (a) Write the system in matrix form d = AY. (b) Write the determinant and trace of A in terms of k and use these to find all values of k where the system has a bifurcation. in (c) Determine the type of equilibrium at the origin for all values of k which are not the hifungo
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 64EQ
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