Lectures related to Linear Independence: The Wronskian Concept

Advanced Analysis II: Cauchy Problem and Differential Equations

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Laplace Transform: Properties and Applications

Covers the properties and applications of the Laplace transform in solving differential equations.

Advanced Analysis II: Cauchy Problem Resolution

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Linear differential equations

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.