Show that u(x,t)= f((x+a*t)+f(x-a*t))/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Show that u(x,t)= f((x+a*t)+f(x-a*t))/2
Hana Emad Ali- DIBES
Partial
1837469
Q2:- I
4 (xel x)
ut (x,0)
u (x,1
951x1
u lxi t)
f (x +at) + f (x-at)
2.
shew that
=
Transcribed Image Text:Hana Emad Ali- DIBES Partial 1837469 Q2:- I 4 (xel x) ut (x,0) u (x,1 951x1 u lxi t) f (x +at) + f (x-at) 2. shew that =
Az:- If
a
4 (x0)
ut (x,0)
3.
u (x,E1
ux (xxt)-
u lxit) =
f (x +at)f (か-94)
show that
9(x )
Transcribed Image Text:Az:- If a 4 (x0) ut (x,0) 3. u (x,E1 ux (xxt)- u lxit) = f (x +at)f (か-94) show that 9(x )
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