Laplace Transform: Solving Differential Equations

Related lectures (28)

Page 2 of 3

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Covers mathematical concepts from number theory to probability and statistics.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

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

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Covers the resolution of a Cauchy problem using the method of variation of constants in differential equations.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.

Covers the application of Fourier transforms in tomography, focusing on the Radon transform and its inversion techniques.

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