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Hi,
Why the wave equation is
[tex]\frac{\partial^2 u}{\partial^2 x}=c^2\nabla^2 u[/tex]?
Where does it come from?Thanks.
Why the wave equation is
[tex]\frac{\partial^2 u}{\partial^2 x}=c^2\nabla^2 u[/tex]?
Where does it come from?Thanks.
coki2000 said:Hi,
Why the wave equation is
[tex]\frac{\partial^2 u}{\partial^2 x}=c^2\nabla^2 u[/tex]?
Where does it come from?Thanks.
The wave equation is a mathematical formula that describes the behavior of a wave in a given medium. It represents the relationship between the wave's frequency, wavelength, and speed.
The wave equation was first discovered by the French mathematician Jean le Rond d'Alembert in the 18th century.
The wave equation is used in a variety of fields, including physics, engineering, and mathematics. It is used to study the behavior of waves in different mediums, such as sound waves, electromagnetic waves, and water waves.
The key components of the wave equation are the variables representing the wave's frequency (f), wavelength (λ), and speed (v). It is typically written as v = fλ, where v is the speed of the wave.
The wave equation has many practical applications, such as in the design of musical instruments, earthquake detection, and medical imaging. It is also used in technologies like radar and sonar.