Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=1, x₂ (0) = 4, and x3 (0) = 7. x' = -28 -32 -2 25 29 -25-25 2 x; Xx₁ 2 3t H 6 -5.X2 5 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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) = 7.
x' =
- 28 -32-1
-2
25
29
2 X; X₁ = 6
-25-25 2
6
-5x2
5
14
The particular solution is x₁ (t) = x₂(t)=, and x3 (t) =
1
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) = 7. x' = - 28 -32-1 -2 25 29 2 X; X₁ = 6 -25-25 2 6 -5x2 5 14 The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = 1
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