Lectures related to Linear Second Order ODEs

Linear Differential Equations of Higher Order

Revises linear differential equations with constant coefficients of higher order and their geometric interpretation.

Solutions of Homogeneous Linear Differential Equations

Covers the solutions of homogeneous linear differential equations and how to find linearly independent solutions.

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

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Linearly Independent Solutions and Quadratic Equations

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

Linear Differential Equations with Constant Coefficients

Explores linear differential equations with constant coefficients and roots implications in determining solutions.

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.