Consider the initial value problem: - (: )- 1' r' = æ(0) 0 -6 a. Find the repeated eigenvalue A, an eigenvector v, and a generalized eigenvector w for the coefficient matrix of this linear system. b. Find the most general real-valued solution to the linear system of differential equations. x(t) = c1 + c2 c. Solve the original initial value problem. x1(t) x2(t)
Consider the initial value problem: - (: )- 1' r' = æ(0) 0 -6 a. Find the repeated eigenvalue A, an eigenvector v, and a generalized eigenvector w for the coefficient matrix of this linear system. b. Find the most general real-valued solution to the linear system of differential equations. x(t) = c1 + c2 c. Solve the original initial value problem. x1(t) x2(t)
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:Consider the initial value problem:
- (: )-
1'
r' =
æ(0)
0 -6
a. Find the repeated eigenvalue A, an eigenvector v, and a generalized eigenvector w for the coefficient matrix of this linear system.
b. Find the most general real-valued solution to the linear system of differential equations.
x(t) = c1
+ c2
c. Solve the original initial value problem.
x1(t)
x2(t)
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