I don't understand why R0=C2+C3lnr
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 R0=C2+C3lnr
Transcribed Image Text:4:33 PM Thu Oct 21
* 34%
April 28
2:25 PM
T Edit
SlomnARY
p"+FR'-XR=D0
So = 0
S(T)=0
%3D
GCauchy-Euler
Diff EQ
GIVEN X, if RG) and Slo) are Ddlutions
the ur,e)=RG)S(0) is a Adution to
Loplace's EQ +@ +®.
® has NoN-tRIVial sdutions ovly for Certaix
Casel:X=0
The solutioNs to he above eguations are:
OSole) = C,
EQ +@ +3,
~ Solution to
%3D
Cauchy-Euler
>Set C =0 because we want The
Oolution to be bounded a as r→0
O Ro(F) = C2 +Ca lor ~ Solution to
%3D
Ú,(r,0) -Polr) So(e) = Ao
S Solution to Laplaces EQ
+A +B
%3D
%3D
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