Solved: In 1 and 2, fill in the blanks
Chapter 10, Problem 2(choose chapter or problem)
In Problems 1 and 2, fill in the blanks.
The vector \(\mathbf{X}=c_{1}\left(\begin{array}{r}-1 \\ 1\end{array}\right) e^{-9 t}+c_{2}\left(\begin{array}{l}5 \\ 3\end{array}\right) e^{7 t}\) is a solution of the initial-value problem \(\mathbf{X}^{\prime}=\left(\begin{array}{rr}1 & 10 \\ 6 & -3\end{array}\right) \mathbf{X}, \mathbf{X}(0)=\left(\begin{array}{l}2 \\ 0\end{array}\right)\) for \(c_1\) _____ and \(c_2\) _____.
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