Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. - 16 4 [*][26] f(t)= 4 - 1 12+ 4t 1 A = - Xh(t) = Xp (t) = t1 Let X(t) = x₁(t) + xp (t), where x₁ (t) is the general solution corresponding to the homogeneous system, and xp (t) is a particular solution to the nonhomogeneous system. Find x₁ (t) and xp (t). (Type your answer as a single matrix.)
Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. - 16 4 [*][26] f(t)= 4 - 1 12+ 4t 1 A = - Xh(t) = Xp (t) = t1 Let X(t) = x₁(t) + xp (t), where x₁ (t) is the general solution corresponding to the homogeneous system, and xp (t) is a particular solution to the nonhomogeneous system. Find x₁ (t) and xp (t). (Type your answer as a single matrix.)
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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Question
![Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are
given.
- 16 4
[*][26]
f(t)=
4
- 1
12+ 4t 1
A =
-
Xh(t) =
Xp (t) =
t1
Let X(t) = x₁(t) + xp (t), where x₁ (t) is the general solution corresponding to the homogeneous system, and xp (t) is a
particular solution to the nonhomogeneous system. Find x₁ (t) and xp (t).
(Type your answer as a single matrix.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f6e008-573e-475d-91db-ae708750d07c%2F910a5df8-144a-4019-a0dd-8c860f8b6f35%2Fkp2ndaf_processed.png&w=3840&q=75)
Transcribed Image Text:Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are
given.
- 16 4
[*][26]
f(t)=
4
- 1
12+ 4t 1
A =
-
Xh(t) =
Xp (t) =
t1
Let X(t) = x₁(t) + xp (t), where x₁ (t) is the general solution corresponding to the homogeneous system, and xp (t) is a
particular solution to the nonhomogeneous system. Find x₁ (t) and xp (t).
(Type your answer as a single matrix.)
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