Answer: In 11–16, use the variation of parameters formula
Chapter 9, Problem 13E(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.
\(A=\left[\begin{array}{rr} 2 & 1 \\ -3 & -2 \end{array}\right], f(t)=\left[\begin{array}{l}
2 e^{t} \\ 4 e^{t} \end{array}\right]\)
Equation Transcription:
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Text Transcription:
x'(t)=Ax(t)+f(t)
A and f(t)
A=[ 2 1 -3 -2 ] , f(t)=[ 2et 4et ]
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