Observations on the transcendental Equation

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1 IOSR Jourl o Mecs IOSR-JM e-issn: ISSN: 9-7 Volue 7 Issue Jul. - u Oservos o e rscedel Euo M..Gol S.Vds T.R.Us R Dere o Mecs Sr Idr Gd Collee Trucrll- src: Te rscedel euo w ve uows ve s lsed or s o-ero dsc erl soluos.vrous dere ers o erl soluos re llusred d soe eres relos ewee e soluos d secl uers re eed. Kewords: Surdrscedel euoerl osurve uers. Noos: S -Sr uer o r. OH -Ocedrl uer o r. -olol uer o r w se. -rdl uer o r w se. R -roc uer. C -ceered eol rdl uer o r. 9 C - ceered Nool rdl uer o r. 9 C - ceered Trcool rdl uer o r. -our desol urve uer o r wose eer olo s sure. -our desol urve uer o r wose eer olo s eo. - ve desol urve uer o r wose eer! olo s rle. - S desol urve uer o r wose! eer olo s rle. I. Iroduco Doe euos ve uled eld o reserc reso o er vre. Mos o Doe roles re lerc euos [ ].I sees uc wor s o ee doe o o erl soluos o e rscedel euos. I s coe oe reer [-]. Ts coucos e

2 Oservos o e rscedel Euo e lses rscedel euo ve.iel o-ero eer soluos ss e ove euo re oed. Vrous eres roeres o e vlues o re reseed. II. Meod o lss Te rscedel surd euo w ve uows o e solved or e o-ero erl soluos s To sr w e susuo o e rsoros leds o 9 Te ove euo s solved rou ve dere eods d us oe c o ve dere ses o soluos o. Meod Te Us d l e eod o coro dee Eu rel d r rs o e ove euo we e T == e ove euos d sl oe es 8 Susu ves e o-ero dsc erl soluos o s were 8 ew roeres o e soluos re reseed or = R S C C OH R C Ec o e ollow s s uer[]

3 Oservos o e rscedel Euo e. Meod Euo c e wre s. 9 Wre s = Susu d d us e eod o coro dee Eu rel d r rs o e ove euo we e 7 8 T 78 d e vlues o re ve 8 were Susu e o-ero dsc erl soluos o re ve roeres od M C R T R C S

4 Oservos o e rscedel Euo. Meod : I wre s 9 Susu 9 d l e eod o coro dee Eu rel d r rs o e ove euo d == we e cos s 8 s cos Susu d e o-ero dsc erl soluos o re oud cos s s cos 88 cos s s cos cos s cos s s cos 8 s cos cos s s cos were.. roeres 9 8 C 8 8od8 C 9 R 7 9R 8 7 s erec sure. Meod : Wre s 9 wc c e wre s Te ove s euvle o e sse o doule euos Elo e eod o cross-ullco e vlues o d re oed. Susu e o-ero erl soluos o re oud o e e

5 Oservos o e rscedel Euo e were. Meod Euo c e wre s 9 wc c e wre s roceed s eode o-ero dsc erl soluos o re ve were II. Cocluso I ddo o e ove soluos s oserved e uule α α 8-9 α +9 α +9 α sses.to cocludeoe serc or oer coces o soluos uder cosdero d er corresod roeres. Reereces []. L.E.DcsoHsor o Teor o uersvol.celse uls conewor9. []. L.J.Mordel Doe Euos cdec ress Newor 99. []...L d Sur Mo [98] Ns uers d er Crceros Mecl Educo Vol-II No..-7 []. M. Gol d S.Devl rerle Trscedel Euo rc.j.m.9-. []. M..GolV.dcelv O rscedel euo rc. J.M 9-8. []. M..Gol d J. Kl R O e Trscedel euo Ierol Jourl o ecl sceces Vol.9 No.- J-Ju 77-8 [7]. M..Gol d V.dcelv Oservos o e Trscedel euo Dous J.M [8]. M..Gol d J.Kl R O e Trscedel euo

6 Dous.J.M. 9- Oservos o e rscedel Euo [9]. M..Gol Mju So d N.V O Secl Trscedel Euos Relecos des ER-JMS Vol.7 ssue 87-9 []. V.dcelv Eclusve Trscedel euo w R Vol. No []. M..Gol S.Vdls d S.Mll O e Trscedel euo Z W Ierol Jourl o Eeer Sceces d Reserc Tecolo s R []. M..Gol S.Vdls d.kv Oservos o IJMERVol.- cceed Reserc Id ulcos. []. M..Gol S.Vdls d.kv O e Trscedel euo 7 cceed Dous Jourl o Mecs. []. M..Gol S.Vdls d S.Mll eres Trscedel euo Z W R cceed Cle Jourl o Mecs []. M..GolG.Su d S.Vdls O e Trscedel Euo w ve uows r s Glol Jourl o Mecs d Mecl Sceces Vol.No e

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