(8.2.102C) The Equations of Trajectories and Classify the Critical Points of a Conservative Equation

February 24, 2023February 22, 2023 mathispower4u VIII. Differential Equations behavior, center, conservative, critical, differential, equations, Hamilonian, james, mathispower4u, nonlinear, order, second, sousa, stable, trajectories, unstable saddle

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

February 24, 2023February 22, 2023 mathispower4u VIII. Differential Equations behavior, center, conservative, critical, differential, equations, Hamilonian, james, mathispower4u, nonlinear, order, points, second, sousa, stable, trajectories, unstable saddle

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

February 24, 2023February 22, 2023 mathispower4u VIII. Differential Equations behavior, center, conservative, critical, differential, equations, Hamilonian, james, mathispower4u, nonlinear, order, points, second, sousa, stable, trajectories, unstable saddle

This video explains how to determine the equations of the trajectories and how to find and classify the critical points given conservative equation.

(8.2.4) Conversative 2nd Order ODEs and the Hamiltonian to Find Trajectories

February 22, 2023February 21, 2023 mathispower4u VIII. Differential Equations behavior, center, conservative, differential, equations, equatiosn, Hamilonian, james, nonlinear, order, second, sousa, stable, trajectories, unstable saddle

This video defines a conservative 2nd order differential question and how to determine the equations of the trajectories using the Hamiltonian.

(8.2.3) The Trouble with Behavior of Centers of Nonlinear Systems of ODEs

February 22, 2023February 21, 2023 mathispower4u VIII. Differential Equations almost, autonomous, behavior, center, critical, isolated, james, linear, mathispower4u, nonlinear, point, points, problem, saddle, sink, source, sousa, spiral, stability, systems

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

February 22, 2023February 21, 2023 mathispower4u VIII. Differential Equations almost, autonomous, behavior, critical, isolated, james, linear, mathispower4u, nonlinear, points, saddle, sink, source, sousa, spiral, stability, systems

This video explains how to determine the behavior and stability of a nonlinear system at critical points.

(3.5.101) Describing the Behaviors of 2D Linear Homogeneous Constant Coefficient Systems of ODEs using Eigenvalues

December 21, 2022 mathispower4u VIII. Differential Equations behavior, center, coefficient, constant, describe, differential, diffy, eigenvalues, equations, homogeneous, james, mathispower4u, ODEs, ordinary, point, saddle, sink, source, sousa, system

This lesson explains how to determine the type of of the solution to linear homogeneous constant coefficient systems of ordinary differential equations

(3.5) Types of Behavior of 2D Linear Homogeneous Constant Coefficient Systems of ODEs Using Eigenvalues

December 21, 2022December 21, 2022 mathispower4u VIII. Differential Equations behavior, center, coefficient, constant, describe, differential, diffy, eigenvalues, equations, homogeneous, james, mathispower4u, ODEs, ordinary, point, saddle, sink, source, sousa, system

This lesson explains how to determine the type of of the solution to linear homogeneous constant coefficient systems of ordinary differential equations

Characteristics of a Linear Equation in Two Variables

January 19, 2019 mathispower4u III. Algebra Videos algera, behavior, change, constant, decreasing, equation, increasing, initial, intercept, james, linear, mathispower4u, rate, slope, sousa, two, value, variables

This video explains how to determine the constant rate of change (slope), initial value, (b), and describe the behavior of the line given an equation in slope-intercept form.