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:
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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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