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Consider the below 3 equations, U₁ = C1-C2 + C3 U₁C₁ + (0*C₂)+ (0*C3) = C₁ = U₁ = C1 + C2 + C3 In Matrix form, J&U™ U₁ 0c₂=¹₂ [1 -1 1][c₁] 10 00 1 1 1 || C₂ U, UK Solve to get the below final form,

Consider the below 3 equations, U₁ = C1-C2 + C3 U₁C₁ + (0*C₂)+ (0*C3) = C₁ = U₁ = C1 + C2 + C3 In Matrix form, J&U™ U₁ 0c₂=¹₂ [1 -1 1][c₁] 10 00 1 1 1 || C₂ U, UK Solve to get the below final form,

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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Consider the below 3 equations, U₁ = C₁-C₂ + C3 U₁= C₁ + (0*C₂)+ (0*C3) = C1 U₁ = C1 + C₂ + C3 In Matrix form, 1 -1 1] 10 1 Solve to get the below final form, C₁ 5 C3 || C₁ U₁ 0₁²₂}=- u, 1||C3 U₂ 12 U₁ (u₁-2u, +Ug) ¹ (Ug-u₁)
Transcribed Image Text:Consider the below 3 equations, U₁ = C₁-C₂ + C3 U₁= C₁ + (0*C₂)+ (0*C3) = C1 U₁ = C1 + C₂ + C3 In Matrix form, 1 -1 1] 10 1 Solve to get the below final form, C₁ 5 C3 || C₁ U₁ 0₁²₂}=- u, 1||C3 U₂ 12 U₁ (u₁-2u, +Ug) ¹ (Ug-u₁)
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