Differential Equations: Modeling and Solutions

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

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

Covers first-order differential equations, including linear equations and applications in physics.

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.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Covers the modeling and solutions of differential equations, including initial value problems and systems of linear equations.

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.