Ordinary Differential Equations

Related lectures (44)

Covers ordinary linear homogeneous differential equations, focusing on the harmonic oscillator equation and its solutions.

Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.

Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.

Covers the path integral representation of propagators for free particles and harmonic oscillators.

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.

Explores eigenfunctions, harmonic oscillators, and the solution to linear differential equations using a basis of eigenvectors.

Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.

Explores linear differential equations of the second order and the construction of linearly independent solutions.

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

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.

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

Covers linear differential equations of higher order, defining them as linear if they can be rewritten in a specific form.

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

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Covers the solution of linear differential equations and the concept of linearly independent solutions.

Explores general solutions of differential equations with a focus on x

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

Page 1 of 3