Consider the linear system æ ' = Ax, where A is a real 2 × 2 matrix with constant entries and repeated eigenvalues. Use thefollowing information to determine A:The phase plane solution trajectories have horizontal tangents on the line x2 = 5x1 and vertical tangents on the lineX1 = 0.%3DAlso, A has a nonzero repeated eigenvalue and a21= 6.A =X2 (t)anddx2 lta'{ (t)x (t)a, (t)dx1dx2Hint: Consider when the parametric form of the derivatives:are zero.dx1 lt

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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 line a2 = 5x1 and vertical tangents on the line 21 = 0. Also, A has a nonzero repeated eigenvalue and a21 = 6. A = dx2 Hint: Consider when the parametric form of the derivatives: and 2 (t) a(t) are zero. da t r(t)

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 line a2 = 5x1 and vertical tangents on the line 21 = 0. Also, A has a nonzero repeated eigenvalue and a21 = 6. A = dx2 Hint: Consider when the parametric form of the derivatives: and 2 (t) a(t) are zero. da t r(t)

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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