Answer: In 7–10, use the method of undetermined

Chapter 9, Problem 9E

(choose chapter or problem)

In Problems 7-10, use the method of undetermined coefficients to determine only the form of a particular solution for the system \(x^{\prime}(t)=A x(t)+f(t)\), where \(A \text { and } f(t)\) are given.

\(\mathbf{A}=\left[\begin{array}{rrr}  0 & -1 & 0 \\  -1 & 0 & 1 \\  0 & 0 & 1

\end{array}\right], \quad \mathbf{f}(t)=\left[\begin{array}{l}  e^{2 t} \\  \sin t \\  t  \end{array}\right]\)

Equation Transcription:

[ ][]

Text Transcription:

x'(t)=Ax(t)+f(t)

A and f(t)

A=[  0   -1     0 \ -1    0     1 \ 0   0   1 ], f(t)=[ e2t  sin t t]

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