Lectures related to Differential Equations: Modeling Physical and Biological Phenomena

Ordinary Differential Equations: Definitions and Examples

Covers ordinary differential equations, including orders, solutions, and separable equations, with a focus on examples and general solutions.

Cauchy Problem: Existence and Uniqueness of Solutions

Covers the Cauchy problem, focusing on the existence and uniqueness of solutions to differential equations.

Differential Equations: Solutions and Uniqueness

Explores differentiability, continuity, solutions, and uniqueness in differential equations, emphasizing well-posed problems and real-world applications.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Differential Equations: Implicit Solutions

Explores implicit solutions for differential equations and their applications in different scenarios.