Solution: In 11–16, use the variation of parameters formula
Chapter 9, Problem 14E(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.
\(A=\left[\begin{array}{rr} 0 & -1 \\ 1 & 0 \end{array}\right], f(t)=\left[\begin{array}{c}
t^{2} \\ 1 \end{array}\right]\)
Equation Transcription:
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Text Transcription:
x'(t)=Ax(t)+f(t)
A and f(t)
A=[ 0 -1 1 0 ] , f(t)=[ t2 1 ]
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