Lectures related to Homogeneous Differential Equations

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Differential Equations: General Solutions and Methods

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

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Separable Differential Equations

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

Linear Differential Equations

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

Solving Separable Equations

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

Advanced Analysis II: Differential Equations and Timers

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

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.

Ordinary Differential Equations: Non-linear Analysis

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

One Dimensional Harmonic Oscillator

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

Linear Differential Equations: Order 1

Covers linear differential equations of order 1 and their solutions.

Addition of Springs: General Physical Exercises I

Covers the addition of springs in series and parallel, exploring equivalent movements.

First Order Differential Equation

Covers first-order differential equations, including linear equations and applications in physics.

Solving Differential Equations with Bernoulli's Equation

Covers solving differential equations using Bernoulli's equation and variable transformations to simplify linear inhomogeneous forms.

Bernoulli Differential Equation

Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.

Material Point Model: Basics

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

Differential Equations: Solution Methods

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

Linear Differential Equations

Covers the solution of linear differential equations of the first order, both homogeneous and inhomogeneous cases.

Bernoulli Differential Equations: Historical Insights and Solutions

Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.