Find the general solution of the given system.\\ $X' = \begin{pmatrix} -1 & -1 & 0\\ \frac{7}{4} & \frac{-7}{2} & 7\\ \frac{1}{8} & \frac{1}{4} & \frac{-1}{2} \end{pmatrix} X$\\ $X(t) = $
Added by Kylie R.
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The system is given as: x'(t) = 8x(t) + y(t) y'(t) = x(t) Now, we can write this system in matrix form as: $$ \begin{pmatrix} x'(t) \\ y'(t) \end{pmatrix} = \begin{pmatrix} 8 & 1 \\ 1 & 0 \end{pmatrix} \begin{pmatrix} x(t) \\ y(t) \end{pmatrix} $$ Show moreā¦
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