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Differential Equations

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Moderate

Particular Solution to Nonhomogeneous System - 3 2 7 5

DIFFEQ-GR4EPY

Find a particular solution to the homogeneous system:

$$X'=\left(\begin{array}{cc} 3 & 2 \\\ 7 & 5\end{array}\right)X+\left(\begin{array}{c}3 \\\ 2t\end{array}\right)$$

A

$X_{p}(t)=\left(\begin{array}{c}4 \\\ 6\end{array}\right)t+\left(\begin{array}{c}17 \\\ -25\end{array}\right)$

B

$X_{p}(t)=\left(\begin{array}{c}4 \\\ -6\end{array}\right)t+\left(\begin{array}{c}17 \\\ 25\end{array}\right)$

C

$X_{p}(t)=\left(\begin{array}{c}17 \\\ -25\end{array}\right)t+\left(\begin{array}{c}4 \\\ -6\end{array}\right)$

D

$X_{p}(t)=\left(\begin{array}{c}6 \\\ 4\end{array}\right)t+\left(\begin{array}{c}-25 \\\ 17\end{array}\right)$

E

None of the above