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.