Mathematical Methods for Physicists: Differential Equations and Special Functions

Related lectures (29)

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

Covers the Fourier transform inversion formula with examples and exercises for verification.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers mathematical methods for analyzing collision dynamics and energy transfer in physics.

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

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

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Covers the properties and applications of the Laplace transform in solving differential equations.

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