# Differential equations with matrices and eigenvalues?

1. Nov 16, 2011

### stefan1988

1. The problem statement, all variables and given/known data
this is the homework that i have to do
http://img690.imageshack.us/img690/2783/problemsb.png [Broken]

3. The attempt at a solution
im not really sure if this is the right method but i will solve it like if it was a homogeneous equation by setting the right side equal to 0
then one i have that i would solve for roots
once that i would solve for constants and get final equation to be something as y=c1e^x1+c2e^x2

but i dont think that sounds right because im not really finding rt) and last part professor hasn't really covered how to do this sort of thing with matrices i know how to solve for eigenvalues but i dont know how to get it to that point or how do you go about working out that problem

if only i know what i should be studying for or looking for i would be able to solve it but i been looking everywhere and cant find anything to help me out with it

i appreciate any help =D
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited by a moderator: May 5, 2017