- #1
donkeystalk
- 2
- 0
Morning everyone,
Studying for a test and having a problem on a practice question he gave us to study with. Here's the question along with the answer:
Y' = AY + [e^t
e^-t
0]
with A =
[-1 0 4
-0 -1 2
0 0 1]
the answer given is: Y(t) =
[1/2(e^t - e^-t)
e^-t(t+1)
0]
My question is, what are the steps to getting to this solution, I've gone over notes, examples, scavenged the internet, not a whole lot of luck. I know it's probably out there, but I am probably looking up the wrong keywords via Google.
Any help with a general outline of what to do would be extremely helpful! Thanks a lot!
p.s. sorry for bad formatting
Studying for a test and having a problem on a practice question he gave us to study with. Here's the question along with the answer:
Y' = AY + [e^t
e^-t
0]
with A =
[-1 0 4
-0 -1 2
0 0 1]
the answer given is: Y(t) =
[1/2(e^t - e^-t)
e^-t(t+1)
0]
My question is, what are the steps to getting to this solution, I've gone over notes, examples, scavenged the internet, not a whole lot of luck. I know it's probably out there, but I am probably looking up the wrong keywords via Google.
Any help with a general outline of what to do would be extremely helpful! Thanks a lot!
p.s. sorry for bad formatting