Lectures related to Differential Equations: Solutions and Monotonicity

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

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.

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

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Covers a vertical metronome's forces, angle equation, equilibrium positions, and stability.

Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.