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Consider od diHontial éys %3D chese, 2 is di fhantid oberator on function space de fined for bolhdary points f(o0) is the serureed sohution diebdiet to baindary Condetions im bosel at one Green fn is xE [aob], d ohd b ade suitble d Solurce fn ond y lo0) is or both of boshdary pornts The definel to be solation of eis %3D whese oberator 1 es s Undestind to oferute only on I-Cordinte , S(0-t) cs dirac-delta and Glacsto satis fies some la). Stow that y ) to ey@? b). How B.c's ds does 4 (o0), obe the Jbolndazy Conditions included in above slution of ų (o) ? .:chich fecet of above dution y (o0) World chonze a if bolhdary conditions at h charela

Consider od diHontial éys %3D chese, 2 is di fhantid oberator on function space de fined for bolhdary points f(o0) is the serureed sohution diebdiet to baindary Condetions im bosel at one Green fn is xE [aob], d ohd b ade suitble d Solurce fn ond y lo0) is or both of boshdary pornts The definel to be solation of eis %3D whese oberator 1 es s Undestind to oferute only on I-Cordinte , S(0-t) cs dirac-delta and Glacsto satis fies some la). Stow that y ) to ey@? b). How B.c's ds does 4 (o0), obe the Jbolndazy Conditions included in above slution of ų (o) ? .:chich fecet of above dution y (o0) World chonze a if bolhdary conditions at h charela

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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Consider ol di fotial eys where, 2 is de fined for bolhdary foints f(oc) is the sepuraed solution sibict to bacindary Condeteoms im bosel at one Green fn is defined to be solution of eys di fantial opexutor on fine tion space E [asb],d ohd b dde suitale d Sollrce tn > ond y lo0) is or both of bocnday pornts The %3D where oberator I es Undentad to oberate only on I-Coordinate , $(x-t) cis dirac-deltea and G(ocst satiofies some B.c's ds does H (o), Las. a). Show that yc) S Gloort) $(t)dt s solution to ey? ote the bohndazy Conodi tions included in b). How above selution of ų lo0) ? .Cahich part of above dution y (o) world chonze a if bolhdery condetions imbol at
Transcribed Image Text:Consider ol di fotial eys where, 2 is de fined for bolhdary foints f(oc) is the sepuraed solution sibict to bacindary Condeteoms im bosel at one Green fn is defined to be solution of eys di fantial opexutor on fine tion space E [asb],d ohd b dde suitale d Sollrce tn > ond y lo0) is or both of bocnday pornts The %3D where oberator I es Undentad to oberate only on I-Coordinate , $(x-t) cis dirac-deltea and G(ocst satiofies some B.c's ds does H (o), Las. a). Show that yc) S Gloort) $(t)dt s solution to ey? ote the bohndazy Conodi tions included in b). How above selution of ų lo0) ? .Cahich part of above dution y (o) world chonze a if bolhdery condetions imbol at
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