Ordinary Differential Equations: Definitions and Examples

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Covers linear differential equations of order 1, focusing on homogeneous and separable equations.

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

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

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

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

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

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

Covers differential equations and their applications in modeling various phenomena.

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

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.