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The eigenvalues A and their corresponding eigenvector u of the system of differential equation Sy₁ = =ay2 |y2 = by₁ for a, b > 0 are A₁ = -√ab, ₁ = - (✓) and ₂ = = √ab, v 1₂ = A₁ = -√ab, u₁=(√) and X₂ = √ab, 1₂ = - A B A₁ = -√ab, u₂ and A₂ = √ab, u₂ = A₁ = -√, un U4₁== - (✓) and A₂ = √ab, u₂ = - - (VA)

The eigenvalues A and their corresponding eigenvector u of the system of differential equation Sy₁ = =ay2 |y2 = by₁ for a, b > 0 are A₁ = -√ab, ₁ = - (✓) and ₂ = = √ab, v 1₂ = A₁ = -√ab, u₁=(√) and X₂ = √ab, 1₂ = - A B A₁ = -√ab, u₂ and A₂ = √ab, u₂ = A₁ = -√, un U4₁== - (✓) and A₂ = √ab, u₂ = - - (VA)

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 eigenvalues A and their corresponding eigenvector u of the system of differential equation Sy₁ = =ay2 |y2 = by₁ for a, b > 0 are A₁ = -√ab, ₁ = - (✓) and ₂ = = √ab, v 1₂ = A₁ = -√ab, u₁=(√) and X₂ = √ab, 1₂ = - A B A₁ = -√ab, u₂ and A₂ = √ab, u₂ = A₁ = -√, un U4₁== - (✓) and A₂ = √ab, u₂ = - - (VA)
Transcribed Image Text:The eigenvalues A and their corresponding eigenvector u of the system of differential equation Sy₁ = =ay2 |y2 = by₁ for a, b > 0 are A₁ = -√ab, ₁ = - (✓) and ₂ = = √ab, v 1₂ = A₁ = -√ab, u₁=(√) and X₂ = √ab, 1₂ = - A B A₁ = -√ab, u₂ and A₂ = √ab, u₂ = A₁ = -√, un U4₁== - (✓) and A₂ = √ab, u₂ = - - (VA)
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