Question

5. [0/14.28 Points] DETAILS PREVIOUS ANSWERS Find the general solution of the given system. $x' = \begin{pmatrix} -1 & 7 \ -7 & 13 \end{pmatrix} x$ $x(t) = C_1 \begin{pmatrix} 1 \ 1 \end{pmatrix} e^{3t} + C_2 \begin{pmatrix} 1 \ 1 \end{pmatrix} te^{3t} + \begin{pmatrix} -\frac{1}{5} \ 0 \end{pmatrix} e^{3t}$

          5. [0/14.28 Points]
DETAILS
PREVIOUS ANSWERS
Find the general solution of the given system.
$x' = \begin{pmatrix} -1 & 7 \ -7 & 13 \end{pmatrix} x$
$x(t) = C_1 \begin{pmatrix} 1 \ 1 \end{pmatrix} e^{3t} + C_2 \begin{pmatrix} 1 \ 1 \end{pmatrix} te^{3t} + \begin{pmatrix} -\frac{1}{5} \ 0 \end{pmatrix} e^{3t}$