Hi again guys, hope you can help with this simple question...
I am up to systems of differential equations and their resulting equilibrium points.
Now, when faced with finding their equilibrium points, is the a simple way of knowing how many points we will find or are looking for:
I am currently only up to working on two differential equations. The ones am working on are also linear.
I am guessing that because they both only linear, I will have 2x equilibrium points?
A system of linear equation has either a unique solution, an infinite number of solutions, or no solution.
That is, a system of any number of linear differential equations has either a single equilibrium point, an infinite number of equilibrium points (forming a subspace), or none.