The coefficient matrix A of the 4 x 4 system below has eigenvalues A₁-7. g=-4, Ag 9, and 14. Find the particular solution of this system that satisfies the initial conditions x, (0) - 6, x₂ (0) 2. x₂(0)=2, x4(0)-6. x₁ =3x₁ + x₂ + x +7x4 x2 = x₁ +3x₂+ 10x + x4 x3 = x₁ +10x₂+3x₂+x₂ X4 7x₁ + x₂ + x3 + 3x x(t)=0 CITE

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The coefficient matrix A of the 4x4 system below has eigenvalues A₁-7.-4, A9, and = 14. Find the particular solution of this system that satisfies the initial conditions x, (0) - 6,
x₂ (0) 2. x₂(0)=2, x (0)=6.
x₁ =3x₁ + x₂ + x +7x4
x2 = x₁ +3x₂+ 10x + x4
x3 = x₁ + 10x₂ + 3x₂ + x4
X4 7x₁ + x₂ + x3 + 3x
CITE
Transcribed Image Text:The coefficient matrix A of the 4x4 system below has eigenvalues A₁-7.-4, A9, and = 14. Find the particular solution of this system that satisfies the initial conditions x, (0) - 6, x₂ (0) 2. x₂(0)=2, x (0)=6. x₁ =3x₁ + x₂ + x +7x4 x2 = x₁ +3x₂+ 10x + x4 x3 = x₁ + 10x₂ + 3x₂ + x4 X4 7x₁ + x₂ + x3 + 3x CITE
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