Consider the following equation:
x¨ + x˙ + x = 1.
Determine the equilibrium solution and investigate its stability.
not too sure on this stuff. any help is appreciated.
You need the solution to the DE and from that you can determine stability or how well the equation deals with small changes in inputs.
In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.