Differential Equations

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Finding the General Solution 1

DIFFEQ-GJRV14

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

$$\begin{align}x'&=3x-4y \\\ y'&=4x-7y\end{align} $$

A

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

B

$\left(\begin{array}{c}-2 \\\ -4\end{array}\right) e^{-5t}$

C

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

D

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

E

None of the above