Question

Which of the following statements is false?

(a) Equations that describe waves as they occur in nature are called wave equations

(b) The problem of having to describe waves arises in fields like acoustics, electromagnetics, and fluid dynamics

(c) Jean d’Alembert discovered the three-dimensional wave equation

(d) Jean d’Alembert discovered the one-dimensional wave equation

I have been asked this question in my homework.

The above asked question is from Derivation and Solution of Two-dimensional Wave Equation topic in portion Applications of Partial Differential Equations of Engineering Mathematics

Answer 1

Correct answer is (c) Jean d’Alembert discovered the three-dimensional wave equation

The explanation is: The one-dimensional wave equation was discovered by d’Alembert in 1746 and by 1756, the three-dimensional wave equation was discovered by Euler.