Hi,

I am very rusty with my math, and need help understanding how to approach this type of problem.

(problem)

verify that the given vector satisfies the given differential equation:

x'=Ax

where A is a 3x3 matrix

A = {1,1,1;2,1,-1;0,-1,1}

and x = Be^(-t) + 2Ce^(2t)

where B and C are 3x1 matrices

B = {6;-8;4}

C = {0;1;-1}

(\problem)

I differentiated the x with respect to t, but I dont know how to show that the given vector x' fits the DE.

Thanks,

OkashiiKen