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Substitute (8) into (1), utilize (5), and compare the results with (10). (μ"x₁-x₂) (μ" - μ²) 2₁=p² +p" x₂ = μ'p' + μ"p" or -m₁w²+k₁ + k12 K12 p' + (w')²p' = 0 p" + (w")²p" = 0 μl = P' p" = m₁1 + (K₁1+k₁2)1 - K12₂ = 0 -K₁2₁ + m₂22 + (K₂2 + K₁2)₂ = 0 (μ'α - 22) (μ' — μ") K12 -M₂20² +Ka+ K12 (8) (1) (5) (10)

Substitute (8) into (1), utilize (5), and compare the results with (10). (μ"x₁-x₂) (μ" - μ²) 2₁=p² +p" x₂ = μ'p' + μ"p" or -m₁w²+k₁ + k12 K12 p' + (w')²p' = 0 p" + (w")²p" = 0 μl = P' p" = m₁1 + (K₁1+k₁2)1 - K12₂ = 0 -K₁2₁ + m₂22 + (K₂2 + K₁2)₂ = 0 (μ'α - 22) (μ' — μ") K12 -M₂20² +Ka+ K12 (8) (1) (5) (10)

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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Substitute (8) into (1), utilize (5), and compare the results with (10). (μ²x₁-x₂) (μ" - μ²) 2₁=p² +p" x₂ = μ'p' + μ"p" or -m₁w²+k₁ + k12 K12 p' + (w')²p' = 0 p" + (w")²p" = 0 μl = P' p" = m₁1 + (K₁1+k₁2)1 - K12₂ = 0 -K₁2₁ + m₂22 + (K₂2 + K₁2)₂ = 0 (μ'α – 22) (μ' - μ") K12 -M₂20² +Ka+ K12 (8) (1) (5) (10)
Transcribed Image Text:Substitute (8) into (1), utilize (5), and compare the results with (10). (μ²x₁-x₂) (μ" - μ²) 2₁=p² +p" x₂ = μ'p' + μ"p" or -m₁w²+k₁ + k12 K12 p' + (w')²p' = 0 p" + (w")²p" = 0 μl = P' p" = m₁1 + (K₁1+k₁2)1 - K12₂ = 0 -K₁2₁ + m₂22 + (K₂2 + K₁2)₂ = 0 (μ'α – 22) (μ' - μ") K12 -M₂20² +Ka+ K12 (8) (1) (5) (10)
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