Differential Equations in Motion

Related lectures (26)

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

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

Covers the resolution of linear ordinary differential equations of the second order with constant coefficients and a source term.

Explores stability, resonance, damping effects, and forced oscillations in harmonic systems.

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

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

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

Covers basic definitions and transformations in vibratory mechanics.