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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.