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The coefficient matrix A of the 4x4 system below has eigenvalues A₁ = -6, A₂= -3, A-6, and A4 =11. Find the particular solution of this system that satisfies the initial conditions x₁ (0)=8, x₂(0) = 6, x3 (0) = 6, x4(0) = 8. x₁ = 2x₁ + x₂ + x3 +5x4 x2 = x₁ + 2x₂ +8x3 + x4 X'3=X, +8x2 +2х3 +X4 x 4 = 5x₁ + x₂ + x3 + 2x4 *(1)-0

The coefficient matrix A of the 4x4 system below has eigenvalues A₁ = -6, A₂= -3, A-6, and A4 =11. Find the particular solution of this system that satisfies the initial conditions x₁ (0)=8, x₂(0) = 6, x3 (0) = 6, x4(0) = 8. x₁ = 2x₁ + x₂ + x3 +5x4 x2 = x₁ + 2x₂ +8x3 + x4 X'3=X, +8x2 +2х3 +X4 x 4 = 5x₁ + x₂ + x3 + 2x4 *(1)-0

Advanced Engineering Mathematics
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 coefficient matrix A of the 4x4 system below has eigenvalues λ₁ = -6,₂= -3, 236, and 24 = 11. Find the particular solution of this system that satisfies the initial conditions x₁ (0) = 8, x₂ (0) = 6, x3 (0) = 6, x4(0) = 8. x₁ = 2x₁ + x₂ + x3 + 5x4 x2 = x₁ + 2x2 + 8x3 + x4 x3 = x₁ + 8x₂ + 2x3 + x4 x 4 = 5x₁ + x₂ + x3 + 2x4 x(t) =
Transcribed Image Text:The coefficient matrix A of the 4x4 system below has eigenvalues λ₁ = -6,₂= -3, 236, and 24 = 11. Find the particular solution of this system that satisfies the initial conditions x₁ (0) = 8, x₂ (0) = 6, x3 (0) = 6, x4(0) = 8. x₁ = 2x₁ + x₂ + x3 + 5x4 x2 = x₁ + 2x2 + 8x3 + x4 x3 = x₁ + 8x₂ + 2x3 + x4 x 4 = 5x₁ + x₂ + x3 + 2x4 x(t) =
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