Lectures related to Ordinary Differential Equations

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

Covers multistep methods for solving differential equations, focusing on stability conditions and examples.

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.

Linear Differential Equations

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Advanced Analysis II: Isoclines Method

Explores the Isoclines Method and solutions of differential equations with tangents.