Fourier Transform: Inversion Formula

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

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

Explores advanced mathematical analysis topics, including Laplace transform methods and integral equations.

Covers Fourier series, periodic functions, and Fourier transforms.

Covers the Sturm-Liouville problem, differential equations, and Fourier transforms for solving equations with specific conditions.

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

Explores the properties and applications of the Fourier transform for solving differential equations.

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

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