Lectures related to Second Order Differential Equations

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

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

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

Covers mathematical concepts from number theory to probability and statistics.

Demonstrates solving linear equations with characteristic polynomial method, yielding real or complex solutions.

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