First time poster here, love the site so far though. Thanks in advance for any help received. I'm really lost!
I'm doing a very simple system of differential equations problem here and I've run into a situation I don't know how to handle.
The differential equation is:
x' = x
Now, I have the eigenvalues as 0 and 2. Two distinct real eigenvalues, should be easy, right!?
But my eigenvectors are complex... Namely:
(Complex conjugates as expected with complex eigenvectors)
So how do I handle that? I don't know how to get a solution with real eigenvalues and complex eigenvectors... Help please!