Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = = AX(t). X1,2 = -1, -2 X1,2 = 3, -1 X1,2 A₁,2 = ±i X1,2 1 3 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D -0.8 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 Phase Portrait -0.6 -0.4 -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait = = ±2i -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 1 0.2 0.4 0.6 0.8 1 2 4 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 -0.2 -0.4% -0.6 -0.8 -1 -1 -0.8 Phase Portrait -0.2 -0.6 -0.4 0.2 0.4 0.6 0 x(t) Phase Portrait -0.2 0 x(t) 0.2 0.4 0.8 0.6 1 0.8 1

The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = = AX(t). X1,2 = -1, -2 X1,2 = 3, -1 X1,2 A₁,2 = ±i X1,2 1 3 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D -0.8 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 Phase Portrait -0.6 -0.4 -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait = = ±2i -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 1 0.2 0.4 0.6 0.8 1 2 4 1 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 -0.2 -0.4% -0.6 -0.8 -1 -1 -0.8 Phase Portrait -0.2 -0.6 -0.4 0.2 0.4 0.6 0 x(t) Phase Portrait -0.2 0 x(t) 0.2 0.4 0.8 0.6 1 0.8 1

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
See similar textbooks
icon
Related questions
Question
The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = AX(t). X1,2 = -1, -2 A1,2 3,-1 X1,2 = ±2i A1,2 = 1 3 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D 1 -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 Phase Portrait -1 Phase Portrait -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 = 0 x(t) 1/2 ±i 0.8 1 0.2 0.4 0.6 0.8 1 2 4 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 果。 -0.2 -0.4 -0.6' -0.8 -1 -1 Phase Portrait -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait -0.8 -0.6 -0.4 -0.2 0 x(t) 0.2 0.4 0.8 1 0.6 0.8 1
Transcribed Image Text:The eigenvalues of the matrix A are given below. Match them to the appropriate phase portraits of the system X'(t) = AX(t). X1,2 = -1, -2 A1,2 3,-1 X1,2 = ±2i A1,2 = 1 3 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 -1 A B C D 1 -0.8 -0.6 -0.4 -0.2 0 x(t) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 Phase Portrait -1 Phase Portrait -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 = 0 x(t) 1/2 ±i 0.8 1 0.2 0.4 0.6 0.8 1 2 4 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.8 -0.6 -0.4 0.8 0.6 0.4 0.2 果。 -0.2 -0.4 -0.6' -0.8 -1 -1 Phase Portrait -0.2 0 0.2 0.4 0.6 x(t) Phase Portrait -0.8 -0.6 -0.4 -0.2 0 x(t) 0.2 0.4 0.8 1 0.6 0.8 1
Expert Solution
steps

Step by step

Solved in 3 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS