Differential Equations: Basic Concepts

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

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

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

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

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

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

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

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

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

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