Answer: In 17–20, use the variation of parameters formulas
Chapter 9, Problem 19E(choose chapter or problem)
In Problems , use the variation of parameters formulas (11) and possibly a linear algebra software package to find a general solution of the system \(x^{\prime}(t)=A x(t)+f(t)\), where
\(A \text { and } f(t)\) are given.
\(\mathbf{A}=\left[\begin{array}{rrrr} 0 & 1 & 0 & 0 \\ -1 & 0 & 0 & 0 \\
0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 0 \end{array}\right], \quad \mathbf{f}(t)=\left[\begin{array}{c}
t \\ 0 \\ e^{-1} \\ t \end{array}\right]\)
Equation Transcription:
[ ][ ]
Text Transcription:
x'(t)=Ax(t)+f(t)
A and f(t)
A=[ 0 1 0 0 -1 0 0 0 0 0 0 1 0 0 1 0 ], F(t)=[t 0 e-t 1 ]
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