Laplace Transforms in Chemistry and Engineering

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Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Covers the application of finite difference methods to solve partial differential equations.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Explores viscoelastic materials, transforms, and models in materials science.

Introduces the basics and classification of partial differential equations, including notation, definitions, and examples.

Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.

Covers the Laplace and Poisson equations, the heat equation, and the wave equation in physics.