Consider a first-order autonomous system in R1. Suppose f (x) is differentiable, f(0) = f(1) = 0, and f(x) > 0 for x ∈ (0, 1). Determine the orbit γ(x) and the limit sets ω±(x) if x ∈ [0, 1].
I have trouble understanding how to get an orbit or the omega limit sets. Hoping someone can explain with this question. Thanks