Let X = X(t) be a fundamental matrix of the linear homogeneous system x' = Ax of differential equations. Let x = x,(t) be a particular solution of the nonhomogeneous system x' = Ax + b(t). Which of the following is false?

Let X = X(t) be a fundamental matrix of the linear homogeneous system x' = Ax of differential equations. Let x = x,(t) be a particular solution of the nonhomogeneous system x' = Ax + b(t). Which of the following is false?

Name: Let X = X(t) be a fundamental matrix of the linear homogeneous system
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Description: Let X = X(t) be a fundamental matrix of the linear homogeneous system x'differential equations. Let x = Xp(t) be a particular solution of the nonhomogeneoussystem x' = Ax + b(t). Which of the following is false?Ax ofSelect one:X'(t) = AX(t).O a.X(t)

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

Let X = X(t) be a fundamental matrix of the linear homogeneous system x'
differential equations. Let x = Xp(t) be a particular solution of the nonhomogeneous
system x' = Ax + b(t). Which of the following is false?
Ax of
Select one:
X'(t) = AX(t).
O a.
X(t)x,(t) = b(t).
O b.
det[X(t)] # 0.
O c.
Xp(t) = X(t) S[X(t)]-'b(t)dt.
d.

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