Consider %3D S"+\S=0

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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I don't understand why c2=0. Can you please explain it to me. Thank you 

Consider
S"+\S=0
Od=0
s(o)= Ci+C o
> Ca=0
Sle) = C, coshlr
>Not peiodle
+ CadinhEro)
don't consiclei
Sco)=Cicesl) +Sin(x)
%3D
Šce)=S(8+)TT) will hold if
n= 1,2,3. (neIN)
%3D
Check
coo(ne)= cea (nlota
Reasen: Caoln(6+a) = Cos(ne +
%3D
10
=cos(no)
Transcribed Image Text:Consider S"+\S=0 Od=0 s(o)= Ci+C o > Ca=0 Sle) = C, coshlr >Not peiodle + CadinhEro) don't consiclei Sco)=Cicesl) +Sin(x) %3D Šce)=S(8+)TT) will hold if n= 1,2,3. (neIN) %3D Check coo(ne)= cea (nlota Reasen: Caoln(6+a) = Cos(ne + %3D 10 =cos(no)
Expert Solution
Step 1

Given,

                          S''+λS=0                        ...(1)and                        S(θ)=S(θ+2π)                  ...(2)

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