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I don't understand why R0=C2+C3lnr

I don't understand why R0=C2+C3lnr

Advanced Engineering Mathematics
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

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
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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