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# Fundamental set of solution of $u'=Au$

DIFFEQ-XHNK0E

Find a fundamental set of solution of $u'=Au$, where:

$$A=\left[\begin{array}{cc}-2&2\\\ -6&5\end{array}\right]$$

A

$\left\{\left[\begin{array}{c}e^t\\\ 2e^t\end{array}\right], \left[\begin{array}{c}2e^{2t}\\\ 3e^{2t}\end{array}\right]\right\}$

B

$\left\{\left[\begin{array}{c}2e^t\\\ -3e^t\end{array}\right], \left[\begin{array}{c}-e^{2t}\\\ 2e^{2t}\end{array}\right]\right\}$

C

$\left\{\left[\begin{array}{c}2e^t\\\ 3e^t\end{array}\right], \left[\begin{array}{c}e^{2t}\\\ 2e^{2t}\end{array}\right]\right\}$

D

$\left\{\left[\begin{array}{c}2e^t\\\ 3e^t\end{array}\right], \left[\begin{array}{c}-2e^{t}\\\ -3e^{t}\end{array}\right]\right\}$