Lectures related to Differential Equations: Introduction and Theoretical Results

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Covers mathematical concepts from number theory to probability and statistics.

Explores the uniqueness of solutions to differential equations, emphasizing global solutions and the linearity of second-order scalar equations.

Covers solutions of differential equations, convergence of sequences, differentiability of functions, and openness of sets.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Introduces ordinary differential equations of higher order and their solutions with initial conditions.

Explores springs under forces using differential equations and mechanics examples.