Lectures related to Introduction to Ordinary Differential Equations

Linear Differential Equations: Constant Coefficients and Solution Methods

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Advanced Analysis II: Cauchy Problem Resolution

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

System of ODEs

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Higher Order Schemes

Explores higher-order schemes for solving differential equations and their stability analysis compared to other methods.

Predictor-Corrector Method: Harmonic Oscillator

Explores the Predictor-Corrector method for the harmonic oscillator and Runga-Kutta method in differential equations.

Elasto-Gravity Bending: Energy and Equilibrium

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

One Dimensional Harmonic Oscillator

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