The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find general solution of the system. x'₁ = 4x₁ + 3x2+4x3, x'₂ = 3x₁ + 5x2 + 3x3, x'3 = 4×₁ + 3x2 + 4x3
The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find general solution of the system. x'₁ = 4x₁ + 3x2+4x3, x'₂ = 3x₁ + 5x2 + 3x3, x'3 = 4×₁ + 3x2 + 4x3
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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![The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a
general solution of the system.
x'₁ = 4x₁ + 3x2+4x3, x'₂ = 3x₁ + 5x2 + 3x3, x'3 = 4×₁ + 3×2 + 4x3
What is the general solution in matrix form?
x(t)=
C₁ + 3C2e111 + C3e2t
-4c2e111-2c3e21
11t
-C₁-11c2e +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a0a8ef8-838b-4077-a0af-d804e1674d2e%2Fd28c98e1-9117-4e4a-a595-0d264ebdef22%2Fwiqmfn9_processed.png&w=3840&q=75)
Transcribed Image Text:The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a
general solution of the system.
x'₁ = 4x₁ + 3x2+4x3, x'₂ = 3x₁ + 5x2 + 3x3, x'3 = 4×₁ + 3×2 + 4x3
What is the general solution in matrix form?
x(t)=
C₁ + 3C2e111 + C3e2t
-4c2e111-2c3e21
11t
-C₁-11c2e +
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