Solution
= Solution
$dU/dt=\nabla U\cdot(-\nabla U)=-|\nabla U|^2\le0$. The descending <gradient flow> trajectory from $(2,1)$ stays in its bounded contour basin and tends to the only <critical point> there, $(1,0)$.
= Solution
$dU/dt=\nabla U\cdot(-\nabla U)=-|\nabla U|^2\le0$. The descending <gradient flow> trajectory from $(2,1)$ stays in its bounded contour basin and tends to the only <critical point> there, $(1,0)$.