Morning everyone,(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Finding General Solution / Fundamental matrix

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