1. The problem statement, all variables and given/known data http://img412.imageshack.us/img412/6463/difeq.jpg [Broken] 2. Relevant equations Matrix maniupation, egein values, determinant, etc 3. The attempt at a solution Well, at first I tried the formulaic way, i.e. finding the eigenvalue through the determinant, but it gave me zero and worse when plugged in it gives zero for x1 and x2. It seems it is too simple to use matrixes here so Instead I just tried it the old fashioned way - i.e. solving for the system through calculus and algebra. So x1'=-20x1 x2'=-10x1 So I solved for x1 because it seemed pretty straightforward and it was, I got: x1=8exp(-20t) which is correct So now I try plugging it in x2' and integrating dx2/dt and I get x2-8=2exp(-20t)/5-2/5 which should give x2=2exp(-20t)/5-2/5+8 However this is wrong. can someone help me with this?