Bessel Equation: Introduction

Related lectures (30)

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

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

Covers the study of a vibrating string, wave equations, sinusoidal waves, and eigenvalue problems.

Explores the wave equation, Laplacian properties, and non-dependent functions in neighborhoods.

Explores energy conservation in wave equations, emphasizing uniqueness, existence of solutions, and stability.

Explores solving scalar linear second order ODEs systematically and introduces special functions essential in physics.

Explores the electronic structure of the hydrogen atom, covering radial wave functions, quantum numbers, and orbital sublayers.

Covers eigenvectors, eigenvalues, and the solution to the 1D wave equation on a bounded system.

Covers systems of n linear first-order ODEs with constant coupling matrix A and explores properties of solutions and the superposition principle.

Explores the Bessel equation and its solutions, focusing on the Bessel functions of the 2nd kind and their properties.