Lectures related to Characteristic Polynomials: Roots and Solutions

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

General Solutions of Differential Equations

Explores general solutions of differential equations with a focus on x

General Solutions of Differential Equations

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

Method of Undetermined Coefficients

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

General Solutions of Differential Equations

Covers general solutions of differential equations, focusing on particular and homogeneous solutions.

Linear Differential Equations

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

General Solution of Inhomogeneous ED

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

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.

Linear Differential Equations: Homogeneous and Separable

Covers linear differential equations of order 1, focusing on homogeneous and separable equations.

Linear Differential Equations

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.

Ordinary Differential Equations: Definitions and Examples

Covers ordinary differential equations, their orders, examples, and applications in various fields.

Population Growth and Temperature Variation

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

One Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Solutions of Differential Equations

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Principle of Superposition in Differential Equations

Explores the principle of superposition in differential equations and the fundamental theorem of algebra.

Ordinary Differential Equations

Covers the basics of ordinary differential equations, including definitions, examples, and solutions.

Differential Equations: Initial Conditions and Solutions

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Linear Differential Equations: Solution Methods

Covers solution methods for linear differential equations of second order with constant coefficients.

Linear Second Order ODEs

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.