Homog. linear system w/ matrix method, help appreciated

1. Apr 30, 2007

ultrabionic_ang

1. The problem statement, all variables and given/known data

Solve the system:

dx/dt =
20 0
40 0

with initial value x(0) =
-4
32

so x(t) = [] ?

2. Relevant equations

I'm not really positive how to do this and how to go about finding x(t). I've looked at wolfram mathematics, and tried following their definitions, but am a bit confused as to how finding eigenvalues/vectors play into finding x(t) I haven't had linear algebra either.

Last edited: Apr 30, 2007
2. Apr 30, 2007

HallsofIvy

Staff Emeritus
You shouldn't be doing problems like this if you don't know any linear algebra! In fact, it's probably a bad idea to take differential equations before taking Linear Algebra.

3. Apr 30, 2007

ultrabionic_ang

Well... they don't require lin alg for diff eq at my school... I'm taking linear over the summer