Being the one-dimensional eguation a²w a²w əx² Where w is the height of the wave, x is the distance,t is the time and c is the speed at which waves propagate. show that the function is a solution of the one-dimensional gguation (d) w = In (2x + 2ct)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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derivative

Being the one-dimensional eguation
a²w
a²w
c2
əx²
at2
Where w is the height of the wave, x is the distance,t is the time and c is the speed at which
waves propagate.
show that the function is a solution of the one-dimensional equation
(d) w = ln (2x + 2ct)
|
Transcribed Image Text:Being the one-dimensional eguation a²w a²w c2 əx² at2 Where w is the height of the wave, x is the distance,t is the time and c is the speed at which waves propagate. show that the function is a solution of the one-dimensional equation (d) w = ln (2x + 2ct) |
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