X, (+) = 4x, (+) + 2xz (t) - · X'₁₂ (+) = x, (+) + x 2 (+) x(0) = 2 × 2 (0)=-4 (a) Write in Matrix/vector form with x(t) = (x: (+)) (b) Find eigenvalues and eigenvectors of the system. (c) Write the general solution of the system. (d) Find the particular solution and express in component form: x, (+) X 2 [+]
X, (+) = 4x, (+) + 2xz (t) - · X'₁₂ (+) = x, (+) + x 2 (+) x(0) = 2 × 2 (0)=-4 (a) Write in Matrix/vector form with x(t) = (x: (+)) (b) Find eigenvalues and eigenvectors of the system. (c) Write the general solution of the system. (d) Find the particular solution and express in component form: x, (+) X 2 [+]
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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Please help solve for my homework
![X, (+) = 4x, (+) + 2xz (t)
-
· X'₁₂ (+) = x, (+) + x 2 (+)
x(0) = 2
× 2 (0)=-4
(a) Write in Matrix/vector form with x(t) = (x: (+))
(b) Find eigenvalues and eigenvectors of the system.
(c) Write the general solution of the system.
(d) Find the particular solution and express
in component form: x, (+)
X 2 [+]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f9ff6b2-6c76-45bc-bbd2-0871ef5c81b6%2Fc60055be-9750-4d70-a675-b0b2a8e33c81%2Fzp9cpri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:X, (+) = 4x, (+) + 2xz (t)
-
· X'₁₂ (+) = x, (+) + x 2 (+)
x(0) = 2
× 2 (0)=-4
(a) Write in Matrix/vector form with x(t) = (x: (+))
(b) Find eigenvalues and eigenvectors of the system.
(c) Write the general solution of the system.
(d) Find the particular solution and express
in component form: x, (+)
X 2 [+]
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