Lectures related to Differential Equations: Solutions and Uniqueness

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

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores differential equations solutions, derivatives, differentiability, composite functions, and continuous functions.

Explores solving linear differential equations and the principle of superposition with illustrative examples.