Suppose that the solution (x(t),y(t)) is defined for all t and that its trajectory has an apparent self-intersection. x₁(a)=x₁(a+p)=x₀ , y₁(a)=y₁(a+p)=y₀. With p>0. with the solution x₂(t) = x₁(t+p), y₂(t) = y₁(t+p),And applying the uniqueness theorem, show x₁(a+p) = x₁(t), y₁(a+p) = y₁(t). For all t. That is, the solution is closed and has a period p.