Lectures related to Differential Equations

Numerical Analysis: Stability in ODEs

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

Differential Equations: Speed Variation Analysis

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

Canonical Transformations: Existence and Equations

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

One Dimensional Harmonic Oscillator

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

Homogeneous Differential Equations

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Advanced Analysis II: Differential Equations and Timers

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

Material Point Model: Basics

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

Ordinary differential equations

Introduces ordinary differential equations of higher order and their solutions with initial conditions.

Separable Differential Equations

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

Cauchy-Euler Equations

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Addition of Springs: General Physical Exercises I

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

Differential Equations: Solution Methods

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

Ordinary Differential Equations: Non-linear Analysis

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

Linear Differential Equations

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

Advanced Analysis II: Differential Equations

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Advanced Analysis II: Solving Separable Differential Equations

Covers the theory and methods for solving separable differential equations, focusing on existence, uniqueness, and the construction of solutions through integration.

Differential Equations: Introduction and Theoretical Results

Covers differential equations, including examples and unique solutions.

Differential Equations: Initial Conditions and Solutions

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

Direction Fields, Euler Methods, Differential Equations

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.