2/2 -irT b1 (r)e¬3iwT/2 + Ve-irT 2(r)e-biwT/2 V(x,T) = -irT %3D e 드n(x)e-(r+ ¥)T + 2/2 2(x)e-(r+)7 The aim is to choose r in order to minimize T, which must satisfy exp r+ = 1 exp = -1 exp +. = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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why the equation must satisfy the part that surrounded by block?

3
V (x, T) =
2/2
-irT
-irT
e
5
-irT
e
/2(r)e-5iwT/2
po (x)e-iwT/2 _
V1 (x)e-3iwT/2
5
2v2 bo(x)e-i(r+)T
2(x)e=i(r+)T
5
3
= vo (x)e-i(r+)T _
1(2)e¬i(r+)T +
The aim is to choose r in order to minimize T, which must satisfy
exp [-(r+ )7] = 1
?
exp
+.
= -1
exp
r+
T = 1
Transcribed Image Text:3 V (x, T) = 2/2 -irT -irT e 5 -irT e /2(r)e-5iwT/2 po (x)e-iwT/2 _ V1 (x)e-3iwT/2 5 2v2 bo(x)e-i(r+)T 2(x)e=i(r+)T 5 3 = vo (x)e-i(r+)T _ 1(2)e¬i(r+)T + The aim is to choose r in order to minimize T, which must satisfy exp [-(r+ )7] = 1 ? exp +. = -1 exp r+ T = 1
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