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. A = -9 3 3 -1 f(t) = 11+ 3t¯1 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 d xp (t). X₁ (t) = 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. A = -9 3 3 -1 f(t) = 11+ 3t¯1 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 d xp (t). X₁ (t) = 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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Pn
![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.
A =
9
31₁ [1₁]
t1
f(t) =
11 + 3t-1
Let x(t) = x₁(t) + xp (t), where xn (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).
Xh(t)=
xp (t) = (Type your answer as a single matrix.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4533113e-069b-4e7d-b23b-da7079f58484%2Febe148d1-ca07-4526-98aa-e08ec0b85bb8%2F6lalptw_processed.jpeg&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.
A =
9
31₁ [1₁]
t1
f(t) =
11 + 3t-1
Let x(t) = x₁(t) + xp (t), where xn (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).
Xh(t)=
xp (t) = (Type your answer as a single matrix.)
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