Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] · eigenvalue X = −1+i with associated eigenvector v = [y₁ (t)] Assume your real solution is in the form (t)e where

Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] · eigenvalue X = −1+i with associated eigenvector v = [y₁ (t)] Assume your real solution is in the form (t)e where

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
100%

The options for matching the values of c1 and c2 are -4 through 1.

Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] eigenvalue X = −1+i with associated eigenvector v = Assume your real solution is in the form cos(t) 2 cos(t) + sin(t) Match a and b to the correct values a = [c1] and b = [c2]. y(t) = e-t =e-¹ [20 y₁ (t)] Y₂ (t). = (t)c where a sin(t) (bcos(t)) + 2 sin(t). 6)].
Transcribed Image Text:Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] eigenvalue X = −1+i with associated eigenvector v = Assume your real solution is in the form cos(t) 2 cos(t) + sin(t) Match a and b to the correct values a = [c1] and b = [c2]. y(t) = e-t =e-¹ [20 y₁ (t)] Y₂ (t). = (t)c where a sin(t) (bcos(t)) + 2 sin(t). 6)].
Expert Solution
steps

Step by step

Solved in 3 steps

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