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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=1, x₂ (0) = 4, and x3 (0) = 6. x' = -22-26-2 20 24 - 20 - 20 2 x; x₁ = e 2 -2t 6 -5 5 1 x₂ = ²t - 1 1 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = . 1 - 1 0

Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=1, x₂ (0) = 4, and x3 (0) = 6. x' = -22-26-2 20 24 - 20 - 20 2 x; x₁ = e 2 -2t 6 -5 5 1 x₂ = ²t - 1 1 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = . 1 - 1 0

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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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=1, x₂ (0) = 4, and x3 (0) = 6. x' = - 22-26-2 20 24 - 20 - 20 2 x; x₁ = e 2 -2t 6 -5 5 1 x₂ = ²t - 1 1 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = . 1 - 1 0
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=1, x₂ (0) = 4, and x3 (0) = 6. x' = - 22-26-2 20 24 - 20 - 20 2 x; x₁ = e 2 -2t 6 -5 5 1 x₂ = ²t - 1 1 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = . 1 - 1 0
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