Prove that if a trajectory starts at a noncritical point of the systemdx/dt = F(x, y)
Chapter 9, Problem 27(choose chapter or problem)
Prove that if a trajectory starts at a noncritical point of the systemdx/dt = F(x, y), dy/dt = G(x, y),then it cannot reach a critical point (x0, y0) in a finite length of time.Hint: Assume the contrary; that is, assume that the solution x = (t), y = (t) satisfies(a) = x0, (a) = y0. Then use the fact that x = x0, y = y0 is a solution of the given systemsatisfying the initial condition x = x0, y = y0 at t = a.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer