Integral Solutions of Non-Homogeneous Biquadratic Equation With Four Unknowns

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1 Ieol Jol o Compol Eee Reech Vol Ie Iel Solo o No-Homoeeo qdc Eqo Wh Fo Uo M..Gopl G.Smh S.Vdhlhm. oeo o Mhemc SIGCTch. Lece o Mhemc SIGCTch. oeo o Mhemc SIGCTch c The o-homoeeo qdc eqo h o o epeeed he dophe eqo z lzed o pe o o-zeo dc el olo d hee dee mehod o el olo e lled. Vo ee elo eee he olo d pecl me mel polol me pmdl me Jcohl me Jcohl-Lc meoc me Sell ocl me Ochedl me Gomoc me Ceeed l megeelzed Focc d Lc eqece e ehed. Keod: Iel olo Geelzed Focc d Lc eqece qdc ohomoeeo eqo h o o M.Sc mhemc jec clco: D NOTTIONS : olol me o h ze m m m : mdl me o h ze m S : S me o : oc me o So : Sell ocl me o j : Jcohl lc me o J : Jcohl me o OH : Ochedl me o Gomc : Gomoc me o GF : Geelzed Focc eqece me o GL : Geelzed Lc eqece me o C m : Ceeed olol me o h ze m I. INTRODUCTION The qdc dophe homoeeo o o-homoeeo eqo oe lmed eld o eech de o he e Dco. L. E. []Modell.L.J. []Cmchel R.D[]. I pcl oe m ee Gopl.M..e.l [-] o e o-homoeeo qdc eqo. Th commco coce h ee o-homoeeo qdc eqo h o o epeeed.jceole.com pl e

2 z o deem el m o-zeo el po. Thee dee mehod e lled. I mehod he olo e oed hoh he mehod o cozo. I mehod he oml epo odced o o he el olo. I mehod he el olo e epeed em o Geelzed Focc d Lc eqece lo h e popee em o he oe ee eqece lo e ee elo mo he olo e peeed. II. METHOD OF NLYSIS The Dophe eqo epee o-homoeeo qdc eqo h o o z Iodc he le omo led o z The oe eqo oled hoh hee dee mehod d h oe o hee dc e o olo o... Mehod: Le z S d he mehod o cozodee ep hee Eq el d m p e e co co S he le o d he coepod le o z d e epeeed z co co co opee:. co C S Gomc So 8.jceole.com pl e

3 .jceole.com pl e. co.ech o he ollo me co co co co. z qdc ee. C Gomc 8 8 co.... Mehod : U he oml epo o d eq el d m p e he Whee... C C 7 I e o d 7 he coepod ee olo o oed z.. Mehod : T e he z 8 S 8 e e hoe olo e e he

4 .jceole.com pl e hoe olo epeeed The eel om o el olo o e... Whee Th e o he ollo ple o ee em o Geelzed Lc d occ eqece e ollo: Tple: GF GL GF GL GF GL The oe le o he ollo ecece elo epecel opee. 8. C 8 C 7 8. qdc ee.. OH. 8 CT C S OH. So

5 7. C Gomc C 8 odd 8. J - 8 ee 8 odd. 8 j - 8 ee... cc ee.ech o he ollo me z c 8 OH S C C d e So. GL GF. GL GL GF GF o. GL GL 8 GF GF o III. CONCLUSION: To coclde oe m ech o ohe pe o olo d he coepod popee. REFERENCES: [] Dco. L. E. Ho o he Theo o Nme Vol. Dophe l Ne Yo Doe. [] Modell.L J. Dophe Eqo cdemc e Ne Yo. [] Cmchel. R.D. The Theo o me d Dophe l Ne Yo Doe. [] Gopl.M.. Mjomh d Vh N. mec el olo o IdcVol.XXXIIIMNo..-7. [] Gopl.M..d dchel.v. O Te qdc Dophe eqo [] z cc- Jol o Mhemc Vol-.No [7] Gopl.M.. d J.G. Oeo o IdcVol.XXXVMNo..-8. z z c Cec c Cec.jceole.com pl e

6 [8] Gopl.M.. Mjomh d Vh N. Iel olo o ppled Mhem SceceVol.LXIXNO.-:-. z e d [] Gopl.M.. d Seeh.G. Iel olo o e qdc eqo c J.Mh.7.-. [] Gopl.M..d J.G. Oeo o z c J.Mh.7.-. z [] Gopl.M.. d Vj.. Iel Solo o Te qdc eqo Impc.J.Sc.Tech.Vol.No..7-. [] Gopl.M.Vdhlhm.S. d Del.S. Te qdc dophe z eqo Impc. J.Sc.Tech.VolNo. [].7-. [].Gopl.M.Vdhlhm.S. d SmhG. Iel Solo o [] Te qdc No-homoeeo Eqo z [] JRCEolNo..7-8Jl-Dec. [7]. Gopl.M. SmhG.d Vdhlhm.S. Iel Solo o [8] Te qdc No-homoeeo Eqo [] z chmede J.Mh7-7. z.jceole.com pl e

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