Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the 5x1 and vertical tangents on the line x1 = 0. line x2 Also, A has a nonzero repeated eigenvalue and a21 = 6. 6. A = 6. 56

Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the 5x1 and vertical tangents on the line x1 = 0. line x2 Also, A has a nonzero repeated eigenvalue and a21 = 6. 6. A = 6. 56

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the linear system æ' = Ax, where A is a real 2 × 2 matrix with
constant entries and repeated eigenvalues. Use the following information to
determine A:
The phase plane solution trajectories have horizontal tangents on the
line x2 = 5x1 and vertical tangents on the line x1 = 0.
Also, A has a nonzero repeated eigenvalue and a21 = 6.
A =
6.
6.
5/16

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