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D'Alambert problem

  • Thread starter Carolyn
  • Start date
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1. Homework Statement

Untitled.jpg

please see the attachement

2. Homework Equations

Could somebody explain how to get the the system of equations at the bottom of the page from integrating g(x)?

3. The Attempt at a Solution


I attempted to integrate, but couldn't get the right answer, do I need to subtract the previous integration from the current one?
 
Last edited:

Answers and Replies

quasar987
Science Advisor
Homework Helper
Gold Member
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Just so you know, we can't download your attachment until a mentor approves it.
 
37
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g(x) = 1 when -1 < x < 1, and g(x) = 0 otherwise

how do I get

u(x,t) = (x+at+1)/2a for -1-at < x < -1+at
= t for -1+at < x < 1-at
= (1-x+at)/2a for 1-at< x<1+at

Thanks
 

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