Use an eigenvalue method to solve the following first-order system. Select an appropriate solution for x₁ (t). Assume that the solution vector for the system is of the form [x₁ (t) x2 (t) x3 (t)]T. x' = 1 23 0 0 ○ x₁ (t) O x₁ 30 ; x(0) = 0 3 x₁ (t) = 3et - 6e³t O x₁ (t) = et - 4e³t = 2e2t = e2t4e-t 5e-t 3 0
Use an eigenvalue method to solve the following first-order system. Select an appropriate solution for x₁ (t). Assume that the solution vector for the system is of the form [x₁ (t) x2 (t) x3 (t)]T. x' = 1 23 0 0 ○ x₁ (t) O x₁ 30 ; x(0) = 0 3 x₁ (t) = 3et - 6e³t O x₁ (t) = et - 4e³t = 2e2t = e2t4e-t 5e-t 3 0
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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![Use an eigenvalue method to solve the following first-order system. Select an appropriate solution for x₁ (t). Assume that the
solution vector for the system is of the form [x₁ (t) x2 (t) x3 (t)]T.
x'
=
[1 2
23
0 3 0; x(0) =
003
x₁ (t) = e²t – 4e¯t
○ x₁ (t) = 3et – 6e³t
x₁ (t) = et 4e³t
○ x₁ (t) = 2e²t - 5e-
-t
-3
[]
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099d88f0-6540-416c-ac6e-200ba65e8a02%2F3911af1a-7926-423a-bc6d-b1833a0b26b3%2Fiwi9qug_processed.png&w=3840&q=75)
Transcribed Image Text:Use an eigenvalue method to solve the following first-order system. Select an appropriate solution for x₁ (t). Assume that the
solution vector for the system is of the form [x₁ (t) x2 (t) x3 (t)]T.
x'
=
[1 2
23
0 3 0; x(0) =
003
x₁ (t) = e²t – 4e¯t
○ x₁ (t) = 3et – 6e³t
x₁ (t) = et 4e³t
○ x₁ (t) = 2e²t - 5e-
-t
-3
[]
4
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