Find a general solution of the system
Chapter 9, Problem 27E(choose chapter or problem)
Find a general solution of the system
\(\mathbf{x}^{\prime}(t)=\left[\begin{array}{lll}0 & 1 & 1 \\1 & 0 & 1 \\1 & 1 & 0\end{array}\right]\mathbf{x}(t)+\left[\begin{array}{c}-1 \\-1-e^{-t} \\-2 e^{-t}\end{array}\right]\)
[Hint: Try \(x_{p}(t)=e^{-t} a+t e^{-t} b+c\)]
Equation Transcription:
x’(t) = || x(t) = |
|
xP(t) = e-ta + te-tb + c
Text Transcription:
x prime (t) = aray 0 1 1 1 0 1 1 1 0 array x(t) = array -1 -1 -e^-t -2e^-t array
x_P(t) = e^-ta + te^-tb + c
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