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(b) Following the procedure in (a) to find the eigenvalues A, and A2, write the determinant for the Eigenvalue Matrix AT - А' k+k m m k+k The determinant then is the expression for finding the eigen values A₁-(0)² and

(b) Following the procedure in (a) to find the eigenvalues A, and A2, write the determinant for the Eigenvalue Matrix AT - А' k+k m m k+k The determinant then is the expression for finding the eigen values A₁-(0)² and

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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for X- or x₂ = x₂(t)=x₂ cos cut →→ substituting (7a) and (76) in equation (6) one obtains k, +k k, m |--10-0 m +K₁0² m = arx, cos aut = ²x₂ whore x = largest value/amplitude of x₂ (1) m A™ - וח L0-0 (b) Following the procedure in (a) to find the eigenvalues and λ2, write the determinant for the Eigenvalue Matrix k + k. m k₂ וח (70) k+k (8a) (8b) m The determinant then is the expression for finding the eigen values ₁()² and A₂=(0₂)² NOTES: This problem has many information to be read carefully and understood. There are two questions, (a) and (b), written in bold letters.
Transcribed Image Text:for X- or x₂ = x₂(t)=x₂ cos cut →→ substituting (7a) and (76) in equation (6) one obtains k, +k k, m |--10-0 m +K₁0² m = arx, cos aut = ²x₂ whore x = largest value/amplitude of x₂ (1) m A™ - וח L0-0 (b) Following the procedure in (a) to find the eigenvalues and λ2, write the determinant for the Eigenvalue Matrix k + k. m k₂ וח (70) k+k (8a) (8b) m The determinant then is the expression for finding the eigen values ₁()² and A₂=(0₂)² NOTES: This problem has many information to be read carefully and understood. There are two questions, (a) and (b), written in bold letters.
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