Convolution of Distributions and Differential Equations

Related lectures (30)

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Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.

Covers derivability, linear applications, composition of functions, and the gradient vector.

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

Explores the principle of superposition in differential equations and the fundamental theorem of algebra.

Explores RII filters, analog-to-digital filter conversion, stability, and filter construction.

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

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

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Offers a warm-up for EPFL students, covering key concepts in mathematics and physics through thematic videos and practical exercises.