Why is the general form of the wave equation a second order partial derivative?

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Discussion Overview

The discussion revolves around the nature of the wave equation, specifically why it is expressed as a second order partial derivative rather than a first order partial derivative. Participants explore the implications of this formulation and its adequacy in describing wave phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the necessity of the wave equation being a second order partial derivative and seeks clarification on this aspect.
  • Another participant suggests that a first order wave equation cannot adequately describe a wave, implying that the second order form is essential for a complete representation.
  • There are multiple references to the participant's deduction process, indicating an attempt to understand the mathematical derivation of the wave equation.

Areas of Agreement / Disagreement

Participants express differing views on the formulation of the wave equation, with some suggesting that a first order equation is insufficient while others are seeking further clarification on the topic. The discussion remains unresolved regarding the necessity of the second order form.

Contextual Notes

Some participants have not provided specific definitions of the wave equation, which may affect the clarity of the discussion. Additionally, the reasoning behind the preference for second order derivatives over first order ones is not fully explored.

Michael95
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When I deduct the the general form of wave equation, I noticed it has a second order partial derivative form. I am wondering why wave equation has a second order partial derivative form nor a first order partial derivative form?
 
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Greetings,
Sorry, I have to ask...
Could you be more specific about "wave equation"?
 
Last edited:
Michael95 said:
When I deduct the the general form of wave equation, I noticed it has a second order partial derivative form. I am wondering why wave equation has a second order partial derivative form nor a first order partial derivative form?

@Michael95 -- Welcome to the PF. If you wanted your thread moved, you should have clicked the Report button and asked the Mentors to move it. I have deleted your other thread, so this thread here can continue. :smile:
 
berkeman said:
@Michael95 -- Welcome to the PF. If you wanted your thread moved, you should have clicked the Report button and asked the Mentors to move it. I have deleted your other thread, so this thread here can continue. :smile:
Aha, now we are talking...
 
berkeman said:
@Michael95 -- Welcome to the PF. If you wanted your thread moved, you should have clicked the Report button and asked the Mentors to move it. I have deleted your other thread, so this thread here can continue. :smile:
Ha, I see. I am just join PF few minute ago. Thank you for tip.
 
I have upload a picture. There is my deduction process. I wondering why wave equation has a second order partial derivative form?
 

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Michael95 said:
I have upload a picture. There is my deduction process. I wondering why wave equation has a second order partial derivative form?
I think because it is boring...Laughing out loud Click me fast!. (Take your time)[Need anything else?]
 
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ToBePhysicist said:
I think because it is boring...Laughing out loud Click me fast!. (Take your time)[Need anything else?]
I see. The first oder wave equation can not perfectly describe a wave. Thank you for link.
 
Michael95 said:
I see. The first oder wave equation can not perfectly describe a wave. Thank you for link.
Glad I helped ^_^
 

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