In 7–10, use the method of undetermined coefficients to

Chapter 9, Problem 7E

(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.

\(\mathbf{A}=\left[\begin{array}{ll}  0 & 1 \\  2 & 0  \end{array}\right], \quad \mathbf{f}(t)=\left[\begin{array}{c}  \sin 3 t \\  t  \end{array}\right]\)

Equation Transcription:

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Text Transcription:

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

A and f(t)

A=[ 0     1  \ 2     0 ], f(t)=[    sin 3t  t ]

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