Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, x₂ (0) = 5, and x3 (0) = 4. 6 - 2t CO 20 22 0 X; X₁ e -5 = e²t| X' = - 22-24 0 - 20 - 20 2 1 The particular solution is x₁ (t) = 12e-4t - 4e³t - 6e³t, x₂ (t) = -8e-4t + 4e³t +6e³t, and x3 (t) = 8e-4t- -4e³t
Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, x₂ (0) = 5, and x3 (0) = 4. 6 - 2t CO 20 22 0 X; X₁ e -5 = e²t| X' = - 22-24 0 - 20 - 20 2 1 The particular solution is x₁ (t) = 12e-4t - 4e³t - 6e³t, x₂ (t) = -8e-4t + 4e³t +6e³t, and x3 (t) = 8e-4t- -4e³t
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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![Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, x₂ (0) = 5, and x3 (0) = 4.
1
---H
=
x2
X3
- 22 - 24 0
X'= 20
22 0 X; X₁ = e
2
- 20 - 20
2t
6
5
5
=
1
0
4t
The particular solution is x₁ (t) = 12e-4t - 4e³t - 6e³t, X₂ (t) = - 8e + 4e³t + 6e³t, and x3 (t) = 8e¯ 4t - 4e³t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c0e6610-2ae5-4d3c-adc7-0c42fefaffb0%2Fb9cad2e6-3d22-44f4-9f9c-754d15c9c256%2F1z2ik9v_processed.png&w=3840&q=75)
Transcribed Image Text:Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 4, x₂ (0) = 5, and x3 (0) = 4.
1
---H
=
x2
X3
- 22 - 24 0
X'= 20
22 0 X; X₁ = e
2
- 20 - 20
2t
6
5
5
=
1
0
4t
The particular solution is x₁ (t) = 12e-4t - 4e³t - 6e³t, X₂ (t) = - 8e + 4e³t + 6e³t, and x3 (t) = 8e¯ 4t - 4e³t
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