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. - 9 3 f(t) = A = 3 - 1 13+ 3t-1 Let x(t) = x, (t) + x,p(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). Xp (t) = Xp (t) = O
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. - 9 3 f(t) = A = 3 - 1 13+ 3t-1 Let x(t) = x, (t) + x,p(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). Xp (t) = Xp (t) = O
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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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.
- 9
3
f(t) =
A =
3 - 1
13+ 3t-1
Let x(t) = x, (t) + x,p(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).
Xp (t) =
Xp (t) = O
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