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 f(t) = t-1 A = 4 - 1 9+ 4t -1 Let x(t) = x, (t) + x, (t), where x, (t) is the general solution corresponding to the homogeneous system, and x, (t) is a particular solution to the nonhomogeneous system. Find x, (t) and Xp (t). Xh (t) = Xp (t) = | (Type your answer as a single matrix.)

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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
1
4
f(t) =
A =
4
- 1
9 + 4t -1
Let x(t) = x, (t) + X, (t), where x (t) is the general solution corresponding to the homogeneous
system, and x, (t) is a particular solution to the nonhomogeneous system. Find Xh (t) and
Xp (t).
Xh (t) = |
Xp (t) =|
(Type your answer as a single matrix.)
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 1 4 f(t) = A = 4 - 1 9 + 4t -1 Let x(t) = x, (t) + X, (t), where x (t) is the general solution corresponding to the homogeneous system, and x, (t) is a particular solution to the nonhomogeneous system. Find Xh (t) and Xp (t). Xh (t) = | Xp (t) =| (Type your answer as a single matrix.)
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