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Consider the system of linear differential equations: y' = 1 2 a. Which of the following is the determinant equation that must be solved in order to find the eigenvalues? |1+A = 0 1 2+A |1–A 2 = 0 1 2 +A -1- A 2 = 0 1 2 - A |1–1 2 = 0 1 2 - A b. What are the eigenvalues? Write the eigenvalues as a pair of numbers, for instance: 5, 2. C. Which of the following is the general solution of the system of equations? y = cj le3t+ c2 -2 y = c1 + c2 e3t e-3t+ c2 y = ci y = c1 +c2 e-3t

Consider the system of linear differential equations: y' = 1 2 a. Which of the following is the determinant equation that must be solved in order to find the eigenvalues? |1+A = 0 1 2+A |1–A 2 = 0 1 2 +A -1- A 2 = 0 1 2 - A |1–1 2 = 0 1 2 - A b. What are the eigenvalues? Write the eigenvalues as a pair of numbers, for instance: 5, 2. C. Which of the following is the general solution of the system of equations? y = cj le3t+ c2 -2 y = c1 + c2 e3t e-3t+ c2 y = ci y = c1 +c2 e-3t

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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Consider the system of linear differential equations: y' = 1 2 a. Which of the following is the determinant equation that must be solved in order to find the eigenvalues? |1+A = 0 1 2+A |1–A 2 = 0 1 2 +A -1- A 2 = 0 1 2 - A |1–1 2 = 0 1 2 - A b. What are the eigenvalues? Write the eigenvalues as a pair of numbers, for instance: 5, 2. C. Which of the following is the general solution of the system of equations? y = cj le3t+ c2 -2 y = c1 + c2 e3t e-3t+ c2 y = ci y = c1 +c2 e-3t
Transcribed Image Text:Consider the system of linear differential equations: y' = 1 2 a. Which of the following is the determinant equation that must be solved in order to find the eigenvalues? |1+A = 0 1 2+A |1–A 2 = 0 1 2 +A -1- A 2 = 0 1 2 - A |1–1 2 = 0 1 2 - A b. What are the eigenvalues? Write the eigenvalues as a pair of numbers, for instance: 5, 2. C. Which of the following is the general solution of the system of equations? y = cj le3t+ c2 -2 y = c1 + c2 e3t e-3t+ c2 y = ci y = c1 +c2 e-3t
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