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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 11, x₂(0)=0. x' = 9 -4 28-14 :X₁: 4e²1 7e²1 x₂ = -7t 4e-7t 308 The particular solution is x, (t) = 176e2t + 9 2 and x₂(t)= 77 9 e 71 308 9 71

Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 11, x₂(0)=0. x' = 9 -4 28-14 :X₁: 4e²1 7e²1 x₂ = -7t 4e-7t 308 The particular solution is x, (t) = 176e2t + 9 2 and x₂(t)= 77 9 e 71 308 9 71

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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K Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 11, x₂ (0) = 0. x' = 9 -4 28-14 X; x₁ = 4e²t 7e²1 X₂² The particular solution is x, (t) = 176e2t+ 4e-7t 308 9 e2t and x₂ (t)= 77 9 71, e - 308 9 7t ***
Transcribed Image Text:K Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 11, x₂ (0) = 0. x' = 9 -4 28-14 X; x₁ = 4e²t 7e²1 X₂² The particular solution is x, (t) = 176e2t+ 4e-7t 308 9 e2t and x₂ (t)= 77 9 71, e - 308 9 7t ***
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