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In which of the following fields, does the wave equation not appear?

(a) Acoustics

(b) Electromagnetics

(c) Pedology

(d) Fluid Dynamics

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This key question is from Derivation and Solution of Two-dimensional Wave Equation topic in section Applications of Partial Differential Equations of Engineering Mathematics

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The correct choice is (c) Pedology

Easiest explanation: The wave equation arises in fields like acoustics, electromagnetics, and fluid dynamics. Historically, the problem of a vibrating string such as that of a musical instrument was studied by Jean le Rond d’Alembert, Leonhard Euler, Daniel Bernoulli, and Joseph-Louis Lagrange. In 1746, d’Alembert discovered the one-dimensional wave equation, and within ten years Euler discovered the three-dimensional wave equation.

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