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Suppose that the differential equation x' = Ax is such that A is a 2 x 2 matrix with (G) (-) eigenvalues A1 = 5 and A2 = 3 and corresponding eigenvectors v1 = and v2 = the solution that satisfies the initial condition x(0) = Classify the equilibrium point (0,0). Give the type, and indicate whether it is stable or unstable.

Suppose that the differential equation x' = Ax is such that A is a 2 x 2 matrix with (G) (-) eigenvalues A1 = 5 and A2 = 3 and corresponding eigenvectors v1 = and v2 = the solution that satisfies the initial condition x(0) = Classify the equilibrium point (0,0). Give the type, and indicate whether it is stable or unstable.

Advanced Engineering Mathematics
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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Suppose that the differential equation x' Ax is such that A is a 2 × 2 matrix with (G) eigenvalues A1 = 5 and A2 = 3 and corresponding eigenvectors v = and v2 = (6) the solution that satisfies the initial condition x(0) = Classify the equilibrium point (0,0). Give the type, and indicate whether it is stable or unstable.
Transcribed Image Text:Suppose that the differential equation x' Ax is such that A is a 2 × 2 matrix with (G) eigenvalues A1 = 5 and A2 = 3 and corresponding eigenvectors v = and v2 = (6) the solution that satisfies the initial condition x(0) = Classify the equilibrium point (0,0). Give the type, and indicate whether it is stable or unstable.
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