Lectures related to Differential Equations: Modeling Physical and Biological Phenomena

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

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

Introduces the concept of transfer function in dynamic systems analysis.

Explores equilibrium and stability of a vertical metronome system with springs.

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