Consider a system in R2 having only a finite number of equilibria. (a) Show that every limit set is either a closed orbit or the union of equilibrium points and solutions φt(X) such that limt→[infinity] φt(X) and limt→−[infinity] φt(X) are these equilibria. (b) Show by example (draw a picture) that the number of distinct solution curves in ω(X) may be infinite.