Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=3, x₂ (0) = 3, and x3 (0) = 4. 4 x' = 28 32 -33-37 -2 2 X; x₁ = e -28-28 2 -5t 5 -4, X₂ = e 4 2t The particular solution is x₁ (t) = x₂(t)=, and x3 (t) = 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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Find a particular solution of the indicated linear system that satisfies the initial conditions.
Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=3, x₂ (0) = 3, and x3 (0) = 4.
-33-37 -2
X'= 28 32 2 X₁ X₁ = e
-28-28 2
- 5t
5
-4
4
X₂ = e 2t
1
The particular solution is x₁ (t) = ₁x₂ (t) =, and x3 (t) = .
X3 = e
1
0
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=3, x₂ (0) = 3, and x3 (0) = 4. -33-37 -2 X'= 28 32 2 X₁ X₁ = e -28-28 2 - 5t 5 -4 4 X₂ = e 2t 1 The particular solution is x₁ (t) = ₁x₂ (t) =, and x3 (t) = . X3 = e 1 0
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