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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 6, x₂(0)=0. X'= 22 -5 100 - 23 X; X₁ 5e²t 20e²t X₂² e-3t 5e-3t The particular solution is x₁ (t)= and x₂(t)=

Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 6, x₂(0)=0. X'= 22 -5 100 - 23 X; X₁ 5e²t 20e²t X₂² e-3t 5e-3t The particular solution is x₁ (t)= and x₂(t)=

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) = 6, x₂(0) = 0. x-1500 X' = 22 - 5 100 - 23 X; x₁ = 5e²t 20e²t The particular solution is x₁ (t) = X2 e and x₂ (t) = 3t 5e-3t
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 6, x₂(0) = 0. x-1500 X' = 22 - 5 100 - 23 X; x₁ = 5e²t 20e²t The particular solution is x₁ (t) = X2 e and x₂ (t) = 3t 5e-3t
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