Characteristic Polynomials and Solutions

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Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

General Solution of Inhomogeneous ED

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

General Solutions of Differential Equations

Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.

Solving Separable Equations

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Linear Homogeneous Equations

Covers second-order linear homogeneous differential equations and their solutions.

Method of Undetermined Coefficients

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

General Solution of Homogeneous Second Order Linear Differential Equations

Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

Differential Equations: Solution Methods

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Linear Differential Equations

Covers second-order linear differential equations and their solutions, including the method of variation of constants.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.