This video explains the predator-prey model and looks at a specific example of how to find and classify the critical points.
critical
(8.3.1) Application of a Nonlinear System of ODEs: Trajectories of the Pendulum Equation
This video explains how to determine the equations of the trajectories for the pendular equation, which is a conservative differential equation.
(8.2.102C) The Equations of Trajectories and Classify the Critical Points of a Conservative Equation
This video explains how to determine the equations of the trajectories and how to find and classify the critical points given conservative equation.
(8.2.102B) The Equations of Trajectories and Classify the Critical Points of a Conservative Equation
This video explains how to determine the equations of the trajectories and how to find and classify the critical points given conservative equation.
(8.2.102A) The Equations of Trajectories and Classify the Critical Points of a Conservative Equation
This video explains how to determine the equations of the trajectories and how to find and classify the critical points given conservative equation.
(8.2.101C) Find and Classify the Critical Points of a Nonlinear System of ODEs
This video explains how to determine and classify the critical points of a system of nonlinear differential equations.
(8.2.101B) Find and Classify the Critical Points of a Nonlinear System of ODEs
This video explains how to determine and classify the critical points of a system of nonlinear differential equations.
(8.2.101A) Find and Classify the Critical Points of a Nonlinear System of ODEs
This video explains how to determine and classify the critical points of a system of nonlinear differential equations.
(8.2.3) The Trouble with Behavior of Centers of Nonlinear Systems of ODEs
This video explains the problem with determining the behavior of a nonlinear system of ODEs at a critical point that is a center.
(8.2.2) Behavior and Stability of Isolated Critical Points of Nonlinear Systems of ODEs
This video explains how to determine the behavior and stability of a nonlinear system at critical points.
Math Help from Arithmetic through Calculus and beyond 