Assume that you are solving the linear systems of differential equations given Ai and got the sets of eigenvalues given below. Match each set of eigenvalues by i' with the appropriate description of the origin (which is an equilibrium solution). A). A = -3.2, 13 В). А%3D2+3і C). A = ±8i D). A = -4, –9 E). A = 2, 18 F). A = -3 + 10i origin is an asymptotically stable node origin is an unstable node origin is a saddle point origin is an asymptotically stable spiral point origin is an unstable spiral point origin is a center
Assume that you are solving the linear systems of differential equations given Ai and got the sets of eigenvalues given below. Match each set of eigenvalues by i' with the appropriate description of the origin (which is an equilibrium solution). A). A = -3.2, 13 В). А%3D2+3і C). A = ±8i D). A = -4, –9 E). A = 2, 18 F). A = -3 + 10i origin is an asymptotically stable node origin is an unstable node origin is a saddle point origin is an asymptotically stable spiral point origin is an unstable spiral point origin is a center
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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
Transcribed Image Text:Assume that you are solving the linear systems of differential equations given
by i' = Ax and got the sets of eigenvalues given below. Match each set of eigenvalues
with the appropriate description of the origin (which is an equilibrium solution).
A). A = -3.2, 13
B). A = 2 + 3i
C). A = ±8i
D). A = -4, -9
E). A = 2, 18
F). A = -3 + 10i
origin is an asymptotically stable node
origin is an unstable node
origin is a saddle point
origin is an asymptotically stable spiral point
origin is an unstable spiral point
origin is a center
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