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Differential Equations

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Finding solution to the Nonhomogeneous System 4

DIFFEQ-O7JLTK

Which is not a solution to the system of linear differential equations:

$$X'=\left(\begin{array}{cc}3 & -1 \\\ 5 & -3 \end{array}\right)X$$

A

$X=\left(\begin{array}{c}2 \\\ 2\end{array}\right) e^{2t}$

B

$X=\left(\begin{array}{c}-1 \\\ -5\end{array}\right) e^{-2t}$

C

$X=\left(\begin{array}{c}3 \\\ 3\end{array}\right) e^{2t}-\left(\begin{array}{c}2 \\\ 10\end{array}\right) e^{-2t}$

D

$X=\left(\begin{array}{c}1 \\\ 1\end{array}\right) e^{2t}+\left(\begin{array}{c}-1 \\\ 5\end{array}\right) e^{-2t}$

E

None of the above