Lectures related to Cauchy Problem: Global vs Non-Global Solutions

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Covers the analysis of speed variation using differential equations and small time intervals.

Covers the material point model, initial conditions, and Newton's laws in physics.

Covers the solution of differential equations with initial conditions and limit analysis.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers separable differential equations of order 1, defining separable equations and providing examples.

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

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

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

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

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

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

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Covers the path integral representation of propagators for free particles and harmonic oscillators.

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

Covers the existence and uniqueness of solutions for differential equations.

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

Covers differential equations, including examples and unique solutions.