i have the following system of differential equations:

x = 3x + 2y + 4e-t

y = x +4y +10

I am after a particular integral of this system. I think the answer is:

[x y] = [ae-t b]

(i think this is meant to be a general answer not specific - its a multiple choice answer)

Does any one else agree?

The other option i thought was

[x y] = [ae-t + b 0] so that the constant in the second equation reduces to zero.