Consider the following initial-value problem. M λ = K₁ K₂ Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 1 2⁹ 2 = X' = = 1 2 - X(t) = 1 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) (1,1) (0,1) X 0 1 2 X X, X(0) = Solve the given initial-value problem. 4e (21) + 2e - ( 12/1¹) X
Consider the following initial-value problem. M λ = K₁ K₂ Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 1 2⁹ 2 = X' = = 1 2 - X(t) = 1 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) (1,1) (0,1) X 0 1 2 X X, X(0) = Solve the given initial-value problem. 4e (21) + 2e - ( 12/1¹) X
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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8.2 5 Please Help
Transcribed Image Text:Consider the following initial-value problem.
λ =
K₁ =
K₂
X' =
=
1
2
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
1
1
2⁹ 2
X(t) =
1
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
(1,1)
(0,1)
4e
0
1
2
X
X
X, X(0) =
Solve the given initial-value problem.
(1/1) - (12/1¹)
+ 2e
4
- (3)
X
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