Show function satisfies classical waveequation

In summary, the classical wave equation is a partial differential equation that describes the behavior of waves in a medium. It is satisfied when a "show" function's second partial derivative with respect to space and time is equal to the product of its wave number and the square of its frequency. Examples of show functions that satisfy this equation include sound waves, water waves, and electromagnetic waves. Understanding this equation and show functions has various applications in fields such as physics, engineering, and telecommunications. However, there are limitations to these concepts, such as not accounting for quantum mechanics and not accurately describing all types of waves.
  • #1
leonne
191
0

Homework Statement


show that y=ex-vt)7/8


Homework Equations


d2y/dt2= d2y/dx2



The Attempt at a Solution


i don't understand how they solve this. in the book they have dy/dt=ezdz/dt=-7/8vez(x-vt)-1/8
I thought it would be -7/8veex-vt)7/8 not sure what they did any.
thanks
 
Physics news on Phys.org
  • #2
Your wave equation is wrong, it should be: [itex] \frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2}[/itex]

Just plug in the function y and take bunch of partials.
 
  • #3
o ok thxs
 

1. What is the classical wave equation?

The classical wave equation is a partial differential equation that describes the behavior of a wave in a medium. It relates the second partial derivative of a wave function to its spatial and temporal coordinates.

2. How does a show function satisfy the classical wave equation?

In physics, a "show" function is a term used to describe a wave function that can be observed and measured. The classical wave equation is satisfied when the show function's second partial derivative with respect to space and time is equal to the product of its wave number and the square of its frequency.

3. What are some examples of show functions that satisfy the classical wave equation?

Some examples of show functions that satisfy the classical wave equation include sound waves in air, water waves, and electromagnetic waves such as light and radio waves.

4. What are the applications of understanding the classical wave equation and show functions?

Understanding the classical wave equation and show functions is important in many fields, including physics, engineering, and telecommunications. It allows us to predict and manipulate the behavior of waves in various mediums, leading to advancements in technology and scientific discoveries.

5. Are there any limitations to the classical wave equation and show functions?

While the classical wave equation and show functions are powerful tools for understanding and studying waves, they have limitations. They do not account for the effects of quantum mechanics and do not accurately describe all types of waves, such as gravitational waves.

Similar threads

Replies
8
Views
790
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
3
Views
2K
  • Calculus and Beyond Homework Help
Replies
5
Views
2K
  • Advanced Physics Homework Help
Replies
4
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
2K
  • Advanced Physics Homework Help
Replies
4
Views
5K
  • Advanced Physics Homework Help
Replies
11
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
Back
Top