PDEs- D'Alembert Solution of the Wave Equation

  • Thread starter Roni1985
  • Start date
  • #1
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Homework Statement


The question is here:
http://ocw.mit.edu/courses/mathemat...ions-fall-2006/assignments/probwave1solns.pdf

It's a long question and I figured attaching the link here would be better.

I need help with the question on page 4.
when

Ut(x,0)=g(x)
and U(x,0)=0


Homework Equations



The only relevant equation is the integral of Integral[ g(s)ds,s,x-t,x+t]

The Attempt at a Solution



I tried to look at the solutions but I don't understand how to find the boundaries of the integral from the regions.

for example,
to be in region 2, the solution says that x+t>1 and -1<x+t<1
why is that ?
how was this derived ?


Thanks,
Roni.
 

Answers and Replies

  • #2
201
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still can't figure this out :\
 

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