In Exercises 17–19, each of the given linear systems has zero as an eigenvalue. For each system, (a) find the eigenvalues; (b) find the eigenvectors; (c) sketch the phase portrait; (d) sketch the x(t)- and y(t)-graphs of the solution with initial condition Yo = (1, 0); %3D (e) find the general solution; and (f) find the particular solution for the initial condition Yo : your sketch from part (d). (1, 0) and compare it with n. - (:) -(:) -() dY 17. dt 4 2 Y 2 1 2 dY 18. dt 2 4 Y 3 6 dY 19. dt 0 -1
In Exercises 17–19, each of the given linear systems has zero as an eigenvalue. For each system, (a) find the eigenvalues; (b) find the eigenvectors; (c) sketch the phase portrait; (d) sketch the x(t)- and y(t)-graphs of the solution with initial condition Yo = (1, 0); %3D (e) find the general solution; and (f) find the particular solution for the initial condition Yo : your sketch from part (d). (1, 0) and compare it with n. - (:) -(:) -() dY 17. dt 4 2 Y 2 1 2 dY 18. dt 2 4 Y 3 6 dY 19. dt 0 -1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 16EQ
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