Lectures related to Differential Equations in Free Fall

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

Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.

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.

Differential Equations: Speed Variation Analysis

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

Linear Differential Equations

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

Advanced Analysis II: Differential Equations and Timers

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

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.

Rolling and Review

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Separable Differential Equations

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

Vertical Metronome: Equilibrium and Stability

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

Physics Mini-Test: Trajectory Analysis

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Conformal Field Theory: Hypergeometric Functions

Covers Conformal Field Theory exercises on Hypergeometric functions, including AdS coordinates transformation and Casimir equation.

Differential Equations: Solution Methods

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

Addition of Springs: General Physical Exercises I

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

Linear Differential Equations

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

Differential Equations: Initial Conditions and Solutions

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

First Order Differential Equation

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