Lectures related to Second Order Homogeneous Equations

Laplace Transform: Complex Roots and Transfer Functions

Covers complex roots, transfer functions for nonlinear systems, and Laplace transforms in forced responses.

Advanced Analysis II: Resonant Cases and Variable Coefficients

Covers resonant cases, variable coefficients, and methods for solving differential equations.

Ordinary Differential Equations: Second Order Linear Inhomogeneous

Covers the resolution of second-order linear ordinary differential equations with constant coefficients and a source term.

Linear Differential Equations

Covers linear differential equations and methods to find solutions with examples.

Ordinary Differential Equations

Explores ordinary differential equations, including general solutions, separate variables, order, linearity, and proof methods.

Homogeneous Linear Second-Order Differential Equations

Covers the solution of homogeneous linear second-order differential equations with constant coefficients and explores various cases of real and complex roots.