Lectures related to Ordinary Differential Equations: Solving Examples and Special Cases

Differential Equations: Speed Variation Analysis

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

Covers the process of solving differential equations using various methods.

Differential Equations: Initial Conditions and Solutions

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

Differential Equations: General Solutions and Methods

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

Second Order Differential Equations

Explores second order linear differential equations, including complex solutions and trigonometric functions.

Advanced Analysis II: Differential Equations and Timers

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

Homogeneous Differential Equations

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

Numerical Analysis: Stability in ODEs

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

Ordinary Differential Equations: Second Order

Explores the resolution of second-order linear ODEs with constant coefficients and various source terms.

Solving Cauchy Problems: Differential Equations and Solutions

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Developments in Limited Developments

Introduces limited developments and differential equations with practical applications.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

One Dimensional Harmonic Oscillator

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

Advanced Analysis II: Variation of Constants Method

Covers the variation of constants method for solving first-order linear differential equations, detailing its steps and implications for general and particular solutions.

Differential Equations: Initial Conditions and Solutions

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

Complex Analysis: Laplace and Fourier Transforms

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

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.

Dirac Delta Function and ODEs

Covers the Dirac delta function, Laplace transforms, and unimolecular reactions with convolution emphasis.

Differential Equations: Coefficients and Methods

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Material Point Model: Basics

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