Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 3, x₂ (0) = 1, and x₂ (0) = 5. +4 |- X' = -13 -17 -2 10 14 - 10 - 10 2 x X₁ 2 3 2 The particular solution is x₁ (t) = x₂(t) = ₁ and x₂ (t) = . 0
Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 3, x₂ (0) = 1, and x₂ (0) = 5. +4 |- X' = -13 -17 -2 10 14 - 10 - 10 2 x X₁ 2 3 2 The particular solution is x₁ (t) = x₂(t) = ₁ and x₂ (t) = . 0
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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Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 3, x₂ (0) = 1, and x3 (0) = 5.
3
X' = 10 14 2 x; x₁ = e -2₁ X₂ = ²t
GHHM
2
-13 -17 -2
-10-10 2
The particular solution is x₁ (t) = x₂(t)=, and x₂ (t) = .
X3
0
c
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