Solved: In 11–16, use the variation of parameters formula

Chapter 9, Problem 12E

(choose chapter or problem)

In Problems 11-16, use the variation of parameters formula (II) to find a general solution of the system \(x^{\prime}(t)=A x(t)+f(t)\), where \(A \text { and } f(t)\)  are given.

\(A=\left[\begin{array}{cc}  2 & -1 \\  1 & 5  \end{array}\right], f(t)=\left[\begin{array}{l}

t e^{-t} \\  3 e^{-t}  \end{array}\right]\)

Equation Transcription:

[] []

Text Transcription:

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

A and f(t)

A=[ 2    -1  1      5 ] , f(t)=[ te-t  3e-t ]

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