Find the most general real-valued solution to the linear system of differential equations a' x₁(t) x₂ (t) C1 e^(3t) -e^(3t) = [122 - + c₂ 3] ² č. te^(31) -te^(3t)-e^(3t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
t) Find the most general real-valued solution to the linear system of differential equations a
x₁ (t)
[-]
x₂ (t)
·||
e^(3t)
-e^(31)
-
-2
[23] =
x.
5
+ C₂
18
te^(3t)
-te^(3t)-e^(3t)
Transcribed Image Text:t) Find the most general real-valued solution to the linear system of differential equations a x₁ (t) [-] x₂ (t) ·|| e^(3t) -e^(31) - -2 [23] = x. 5 + C₂ 18 te^(3t) -te^(3t)-e^(3t)
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