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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 3, x₂(0) = 4, and x3 (0) = 4.
H
X3 =
X' =
-28 -32-2
25 29 2 x; x₁ = e
-25 -25 2
6
1
-5, X₂=e²¹ -1
5
The particular solution is x₁ (t) = x₂(t)=, and x₂ (t) = .
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 3, x₂(0) = 4, and x3 (0) = 4. H X3 = X' = -28 -32-2 25 29 2 x; x₁ = e -25 -25 2 6 1 -5, X₂=e²¹ -1 5 The particular solution is x₁ (t) = x₂(t)=, and x₂ (t) = .
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