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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