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I need help solving this problem.

Find the particular solution using method of undetermined coefficients:

X'=AX + F(t)

A= [4 ,1/3] <-- 1st row

[9 , 6] <-- 2nd row

F(t) = [-e^t,e^t]

The complementary function is Xc=c1[1,3]e^(3t) + c2[1,9]e^(7t)

Any help would be greatly appreciated!