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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.