Lectures related to Linear differential equations

Linear Combinations and Basis Characterization Log in to Mediaspace to watch this video

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.

Ordinary Differential Equations: Introduction Log in to Mediaspace to watch this video

Introduces Ordinary Differential Equations, discussing general and particular solutions, and the importance of initial conditions.

Cauchy Problem: General Solution Log in to Mediaspace to watch this video

Covers the general solution of Cauchy problems in first-order differential equations.

Differential Equations in Motion Log in to Mediaspace to watch this video

Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.

Existence-and-uniqueness-theorem Log in to Mediaspace to watch this video

Covers the existence and uniqueness theorem for Cauchy problems and explores global solutions of differential equations.