Consider the system: (image 1) a) Determine all real values of w such that the matrix of the system where f (t)=g(t)= 0 has only one real eigenvalue with algebraic multiplicity equal to 2. For each w obtain the corresponding. b) For w = 5 solve the system where f(t)=g(t)= 0. c) For w = 5 suppose that f(t)= te4tcos4t, g(t) =0 and determine a particular solution for the system. Observation: Item a) is not necessary to solve the other items.
Consider the system: (image 1) a) Determine all real values of w such that the matrix of the system where f (t)=g(t)= 0 has only one real eigenvalue with algebraic multiplicity equal to 2. For each w obtain the corresponding. b) For w = 5 solve the system where f(t)=g(t)= 0. c) For w = 5 suppose that f(t)= te4tcos4t, g(t) =0 and determine a particular solution for the system. Observation: Item a) is not necessary to solve the other items.
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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Consider the system: (image 1)
a) Determine all real values of w such that the matrix of the system where
f (t)=g(t)= 0 has only one real eigenvalue with algebraic multiplicity equal to 2. For each w obtain the corresponding.
b) For w = 5 solve the system where f(t)=g(t)= 0.
c) For w = 5 suppose that f(t)= te4tcos4t, g(t) =0 and determine a particular solution for the system.
Observation: Item a) is not necessary to solve the other items.
Transcribed Image Text:Sr'(t) = (w+1)z(t) + (w – 6)y(t) + f(t)
ly (t) = (w- 1)(t) + (w – 3)y(t) + g(t)
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