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1 1 2 d the solution to the linear system of differential equations [1] = sfying the initial conditions t) = t) = and 7₂ = (0) x₂ (0)_ = [] 3 help (formulas) help (formulas) 3 = 13 12] [ 1[+] -8 7 help (matrices)

1 1 2 d the solution to the linear system of differential equations [1] = sfying the initial conditions t) = t) = and 7₂ = (0) x₂ (0)_ = [] 3 help (formulas) help (formulas) 3 = 13 12] [ 1[+] -8 7 help (matrices)

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 matrix v₁ = 1 x₁ (t) = -13 12] -8 7 x₂ (t) = has eigenvalues A₁ = -1 and ₂ = -5. Find eigenvectors corresponding to these eigenvalues. satisfying the initial conditions 1 2 Find the solution to the linear system of differential equations and 7₂ x₁ (0)] _x₂ (0) = [3] help (formulas) help (formulas) = x 3 x = - 13 -8 12 7 X1 X help (matrices)
Transcribed Image Text:The matrix v₁ = 1 x₁ (t) = -13 12] -8 7 x₂ (t) = has eigenvalues A₁ = -1 and ₂ = -5. Find eigenvectors corresponding to these eigenvalues. satisfying the initial conditions 1 2 Find the solution to the linear system of differential equations and 7₂ x₁ (0)] _x₂ (0) = [3] help (formulas) help (formulas) = x 3 x = - 13 -8 12 7 X1 X help (matrices)
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