Eigenfunctions and Continuous Bounded 1D Wave Equation

Related lectures (26)

Page 1 of 3

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

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

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

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

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

Explores eigenvalues, eigenvectors, diagonalization, and spectral theorem in linear algebra.

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

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.