= 2 = 2 = X' = ind the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 11/1/12 2 (t) = 1 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) (1,1) (0,1) - Need Help? 0 X X, X(0) = Solve the given initial-value problem. - 40 ( 2² ) + 2€¯( 1²¹) 4e 2e Read It X Watch It

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