Lectures related to Advanced Analysis II: Resonant Cases and Variable Coefficients

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

Differential Equations: Coefficients and Methods

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

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

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.

Fluid Friction Forces

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Canonical Transformations: Existence and Equations

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

Linear Second Order ODEs

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.