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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Document preview page 1

Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 1

Document preview content for Solution Manual For Advanced Engineering Mathematics, 2nd Edition

Solution Manual For Advanced Engineering Mathematics, 2nd Edition

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Page 1 of 16
Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 1 preview imageSection1.21Chapter1Section1.21.(b)Funondun12RmaeKF#9Mm2KsoNO.Mp?2(3RmXY360K)doco=9/unm2x(hee2RUANCOK=MM2X)AoYew,Ms:2(e*ye™)#9maxAoNo.2222eZ:4hymiranm-1=~2RE™[Feat+AEXrahe”[TETdt=0odyABESea,onrid,NoTyonMrc=-2xeLEVar+£7eraxe”[ak<1deo20fnQlchocsa4a,roHeayMaw,Mazac$UytA,App=(2425ring,imbspuwhez=0ofedie(ayazb=c/=0poNaAmazdnbAwchez=0"Wtdenioaude1Ct=ai+LY)!5.(b)mie3mt=xe+3E2F=2%(arzeM).The&fainAond0fonamy20,Lkdmgfnaflx.GndfonFheneandfanJobe0a1al,xSuggdhEMJoaconituntandIE,inTarnnasiThatA=0.Buty20thinA+3€M=0+3#0.Tha,mosuchadutiois©u'-3y'r2y=(N-snt+2)e™zo4Xe3ne220,Le,JAI2.Thao,€*amdEHanepdudimo.we6.(5)m'-y-x*=(2+AoinhxtBeh)-(-Kro+Asche+Bopht)~x*doto=0,qo=-z=-2tBamd40202AgreAsB=0,soMi)=-X*2.7.(0)NedomiandueTotheAnTord)NonbwaondueTotheLtp()Fn,®NedineandueToThemmLown.OH)ARs,Jonson.8wxC,smeytdSection1.33.@SinceAW=warspas,tenegThata=juds/dx=pAig.2(10)and.(11),Tentr=A.JongtoacTamg=pfdiya+B)TwoAanddfxquiay'sCig.Chapter2Section2.2.-py4x2.09wtdn=8,soa)grai=€5(oan+C)=E(B4C)=2¢Ce™.On,indigratingFodormdhed,cmordenof[Heo=08.Fouohlrdonk=(ayy=ana’ktherd,T'=4T40,few(7),othe¥®.Thu,(@y)'=3e™,noe¥y=(“getd+Con
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 2 preview imageDownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iFprE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 3 preview imageSection2.22_Fax..moo=2+Ce0od(dt©°y=gimme(JeHanc)='%E"(feJecrtC)=e(fef(eP%.)CEGaptC)=ERIE([etMPElyc)=iz(felemxjax+C).RecalldhatheTamaaintheODEdodejentdbycoy=3M/2<X<-TY2Tp<X<TV/2,WokX<32yeHe.Om<xM2,frm,cox>0rolax=coxomd400=g5z(6pinx+C).Omm2<x<3M/2,fouat,epE<OAO[CK]=-Coxamdex)=(f-eoxdn+c)=go(6pinx=C),androom,AEonAdheBld.primalFheshedionsoy100)=gr(Git+“A7)I,Asoamrr]endund[&)Mix)=e(fef1%gay+C)=esnH(fe?1x129+C)=pe([11xFdotC)=L(fxtec)=£+<fonD<x<DOLfen—~0<X<O.-3.(b)Mp0=AEHnoneckmon=Aue™.Than(Reupé™)rupe®=gguiaA'=82%,A=feeax+C=26+C,soMz(2e%+C)E*=24CEH,ao4m20).5.)me)=20+Gxmh=2=2+CgroC70ago=225on-0<x<20,©fm=25+Cl.M@)=2=8+C2oS-GotoC=-l226H(X)=2-12on0<X<20.IRwo6.(21)opurte.gpranalJWsoyamas[Rize(B)40121=0+1+04aechoreC=0. *fFHoe,w=%+1.(Note:Myunstiad:yYOpgsPFthntheAomoad)5.on~0<X<20.VertI[2HEDFIZ-L+14CguideCd;pooq4ME)=Erleghon-0<x<O.Z|T7..(5)Conandin.2.2X09)nathanThana:9THY=).Thm&=exta®oyfedgowns,wp=<I(eiua)NIB00)ShbemghtfolyHo00055,leJ:10<9<¢partSaothediff,mingdheelo)aePhosspolialt(2+2ax-n)'s,Lol,aati(1203),S777]=-i--,97d=[40,40],lupe=0.01,axrewo=LINE);7AapagemadosedamesdaPhyT:re
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 4 preview imageSection2.23Rendon,thepdm,curetrough,[2,1]smoith£0wewned,theeddipialdionAMipego,=001.(FofuthenSEEAUcommandAcethededi)i}RowreneahandpeekingoldheODE)newalerdhe.pompFind55],#4icpores[TTTTTTadbinderTothnight,setallyeppreschons=2%.Miar&harlot(-n'2)'2,leu],x=2.2,iti/i£10,013,grid=[40,40],Alupruge=0.04,=-3..3,1|omensUNE);goodheAwwMIIMevotdhenh.WedonedhealignedZH1CowsYZ443andyy=-A3.rriAAo]=-3..ee={Grrrermhpgz=HARE=LINE);gueHepetrashambiloToswedenoflineenioboastytTo0.01dntdheeppisNEATAFTWFAR.)orticalTaeguofm=-i(a0camabsoprinfromtheODE)amddhimindoTodheLE,antoheckcane.aponshl-nnbisd.Fale“pTodhepont4rotieadlFagin,dbs”1Cunt.NOTE:Yetmatpitsdie(nddidewnedwndillSnes4),aRoun,tomamplefom,dheAectindwsmz549.Nak,dhecommando.:andampuctplLRA(3-384=%"3+9,X=~3..0,M=-3.isms=510);eAi==|(9)o'=€%y. phospotiod(orp-2)xn,T,41,2=0.20,{[0,101},gd=[4940],gin=0..40,Aipogr=0.04,anews=LINE);©theportradshoonnentpage.BphasonkeComg,x41,x=0..00,Leteoih,grid=[4040],pails=0.04,annewd=LINE);durodhepenedhnonmaxtPage.
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 5 preview imageSection2.2'4.:(4)Cotionmsd:)cndimued:i——Eosag:||——5TnNN————a——fe——————IA_—J;iElon.222.sige,SEY=0.ExactwntigralCureant=NTT(120,21,£2,...)9.0)+pyzayt,ar=yT(no).W's(=me"’po4'=f'n)amdtheODEakofP=gy’on,dungbyv's(-n)pnr=@in).-(2.2dx10.(6)n=2,boN%Zr=-%?=[fon(of%CR)datc)“(festC)==KaGy)poy=Phe(whAzSC).1I",ERI+,CRAgateVie(Tei¥+(V+£)+.UaomgYipFertobaneHoveRCACJs?Wop+dm=-p-MEou12.(b)HE+1agp=hg=-x,=|amd.(11.3)Aoa+xu=-l,u=(feydatC)ouut)=entiC-f*et?ar)pay.Thue,(12)guama)=x+e“”/(C-fe"at).(©)FedYi=axb=x*,$)UneYn=1tYy=2th)Yi=22Vw=013.00)(13.3)a>lr=0,X+12x=0,wp=CeSHFEMp40theprendreadTaninUp)=cep,Mp)=XlprFY)1:AL=Ce(+3)..5.5@Pulling(134)Mo(13)goerxt§(6)=xFP)+5(P)sohichsopacked4p=codant=p,power,$RY=F,-a4.(b)Stpy=pwm(132)guteO=[%f'(p)+5pld5odBypetifdbep=milan=C[Amer(11)goo(42)]LyXEPY+5p)=0.SmeeFp)2=p,dheLatingiox=gp)1x:and(194)GoresN=Xp+gp)=~P§R+4p)©)IndhocaneAp=-pta0¥goox=2p,y=2p-g=E-DndiscanewtsalleJowhomamade,pAdin(hotwooamdollaM=XY.9
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 6 preview imageSection2.3|5A)ThepondssofhatitheClanssqraFion\|y(41)admitsLithdhefomdydt-boe/Addie(142)amddheadddidaadmelition\NY(143).GorinadlyReantiga.CurweGuren=ANpr.all1.3)10am.ronrllope{d+Nt©),wodhepaellam=,«0NN:diopleudctnught,Goonedhefreak-KXN\_fm,MigswhichdownshangconehFarkmthDaan.sionaypoiy=400,pdafins4ackihaneunigue(pudyctfocodedJOEonpixand4005peeThacumn12.2.1,pg26)Fortamepflecominthehin)honghdnoldprt3,0).ThesebtioncomeFHoeugh-thatpodflodhe%aioTox=-.Mosghfollosdhexere®feenybebod2JneenioTungIodhesdiFimcamen=.OfdhpondI“Daoachace?JXcamcrfinieabogdteKodoX=+0DNXcamdenveFhe“i(rm)atdheAbveughtEeGEErESETLaTALIgToXx=+00.Twosnch>areshooddsbytheManyLino..XAy/2>/~AANApyyzE—aBY-ALL:=XaSection2.3(FRc,t[TR2.)it)=e€bt“(fetEQrsd)3LE,thanED)=0onthesignal,noitt)=&(041)ie,LSthonR.ktRT/L.(tL),|.RELie(EHBisBee)wn7StiadyST:dct)»FogogEAddin.eeDDTRYi3LoViigrea,tlx%*;~Rt/LN4:ict)=Seoks[eiQcost)].Tochamae¥fromTunTrmo15one,
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 7 preview imagei.Section2.36CowieRamt-4)=Almotcoad-aindail).Shut7comparingwnth)Arc=0lDiwidurrgGuroFad=WL/IR1P=tan!wL/K),amd,Rood=R|oyuaniog’andeddoigautof=R00"20A={RELYThue,daty=ElGRE,Eoalot-d).RorLYARF(Ly6.mity=m,€*%40g=1060%Po~ote=Lno,k=00037220me)=|o@0-00372L.2=10€poligot=4320wp,pp40110eonguiaX=12379pro.7mE)=me”.os,=egeceAk=0.00388.Thm,05M,=wl,0.003887gwenT=2094dane.12.@)mar'=mg-cnr;v0)=0.Thon4Snr=g(fnclrondinLanLn.)#0wityzem([efettimgurs£1)=eH(gfectimarif)=1gAgim,Thon,N10)20=19+AguicoA=—mileamdi§Nr)=BG(1-etm).Aotreo,AE)»14=Tomnalray.(kb)mlzmg-cr4mowa.Radesdysquation’(neExercise11onSie22)with.%,changed54,0andpARIE=Sm,44)=0,t)=4.Oloowingtheprotien,oeish{marc,changeApoBalleSecondungTow(t)=fmafe+Hs.ThentheODELecomen0-4=9-(I+k)oo=fR(T)onWoahod-N=J>==ne)=“+g+ATTLRun,w10)=0=BFHilFroHO)pe=2+fgoR=-4f55Fadla3vi-=-amd{EtREB8(-from)Tomawdlesityso{PGE13.ThisproblemisworkedintheAnswerstoSelectedExercises.Here,wejustwishtomentionthattohelpthestudentfeelmorecomfortableaboutthephysicalprocessoflightextinctionitmightbeusefultonotethegradualextinctionoflightasweproceeddeeperanddeeperintotheocean.14.NOTE:Thisproblemisniceforuseinclassorlecture,especiallyinviewofitsenvironmentalinterest.LateronitwillalsomakeaniceexamplefortheapplicationoftheFouriertransform,especiallyifthesourceismodeledasQtimesadeltafunctionatx=0.ThesolutionisgivenintheAnswerstoSelectedExercises,soherewewilljustgivesketches:oftheresultsand(forpossibleclassdiscussion)giveabriefformalderivationofthegoverningODE.}(@)c(b)c|“7Q/eARC-xLvo
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 8 preview image:Section2.47ToduweTheGavewangODEodamasabadanetforomJnectionhcrin,Lh8dstad,FukJaneofilficonpstUtSho4race,(4phd.)anodhe“urindgur”4weaAlxproportionalHeasuaAnddhecomcvdrotionanaduntcl)(rmisoLrteanmneTheaxand.btfromHughconeandnationfolowremcantraTiom,po€100>0llcauseaflu,pws,otheAftardcl)<0willcauneaFluTotheGMC)wunthaAttTT]iNESprpetds.Oven‘aTimsatiaSnandaulofdheendedrole45Aorshow1ChimiealDrew:ccoPorstDifpuan:~RAcwatDilfuscon:~kAc'rar)atConnection:(Uat)AceoCowen:(UAL)Actx+ax).®|waxDischargeditRuntsu:QuoraxstQu)sodhedochargewddheran,Tpek2Lunath.PovamdTome.News;DacuacefeyAneesa=macsmm-masoad,£0ecttyPaxat=[-Actat-(Tat)Rees)2eA-[-kAcioerax)at(ak)Acan)+Quast)DwndunyaxafandLithoAX>04itdket-Uc-@e==QuEaI5.@iku=KUgueuth)oTHE(TH$llat+C)=Tl+Cet.M(0)=MU,=thcgtaC=u~U,poMit)=4,+UL(1-41),6.@Sr=SG,(1+£)™=G(141YRRE=§(14Ly"58oFnamo,Section2.4Lb)#=6x+5,[4=(asp),y=22045%+C,mo)=0=C,Mx)=225K©Srvayeo,[44+4fox=0,[AR,y=ehhca?Hi)=0:Cet¥guidC0,po“0=O.3©MN=(y=-meSag=[€dy,poialfroma“(5+foe+C,=orx2a]=e"C,Mo)=2->“In2=C,lg2Y=ee))y=nm-0<x<b(n),J-e!fsbnn|SHIEERDBalbnz)
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 9 preview imageSection2.48=feys,gob=blkETE=Ie,Hh,ENTgioClas,20°43#3)25-25,m=LreroA>+265Kor=s0Gnd>+00an13-28<Hp,wade,aoXrLhnlS+5x5097fromtheLJ.Somxh)w=ylay[Fy=efdLAbya.3KvlLnfocomemsnceCmAThonSalm)ZC+LAC,Inlay)=InC2,Lng=Co,y=efx,Muze=e">C=1,isdMy=exIE2.@dare(FAYCy,2)-352"24e2pl-110)20,4(0)=0},410);GweoM0)=bn(351).5.ckteAoookt3.dllp(Uew),d=bdr,Inu)=414A,my=Us=UeCE.ot.wlyoy=u,=TU+CgotoC=Mgsouct)=Us(usTHeE*E5.M'+hm=whitepqanenoireeonalombe.2=dyNARIEYtyJAKCemacdunnE0,Aunt),oRThenSiemiiAY=fonParcaNLSEY}N-f=eftks)Ppl-nIxPAE:co,age(EC)G6.(b)§'=(6x*1)/(11),(91d=(ex),m==2205+xX+C.“(0)=4apieDazorosd£0av)Hy@exdi)=o,m=12rd+49|OftheaJiwvoadatomschorethe+som(o)=¢.Thus,t=[1+[FETTTARE2.k099@y=iaparedle,=Ang)romk.(b)m=wx,ld=50%)gpan'=SIN-10.(b)‘=2M,20-1foal=2V-l-NTk208"nyPTANE$0),Aowz=TSW=2)dn_dy2PyaT]iaawearCx2zhe(vantl)ZZ2hEv*harCTgI40=(13HCEYnandypmeeZZSSSNol,Mm={3A(AC)ZZhe=E40],[4,2],144),(46),1nddexsemegyilWi:ErLnueYamada,namady,a0paonfromdheODEw=(29-x)/(y-2%),alongthedns=2%.Thus,mabiad,redPLEtheadudioneto2xERThroughtheswprsndctivthponte[4,-2],14,0],14,2)[4.4],
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 10 preview imageSection2.49In,s],100],10,5][0,10],[4,2],[4.0],R74//,/EatFy-2],[4,4].Fortachsifalpo-iFTASENisSwe.(y-2%)"=3x%A,A=(m-220)~32*JiaReA=52,16,-12,-32,25,100.Fortoch4%ESSENSEEaheawnt+andHim-o's12.Cuma,==7hemoments=25004mTheCommdindrailsolth(phd):ysBhwpeXpAR(T=22+9p(2452),777;=2%x=pq(X"2452),ardtammL:Fer,%=-8..8,42-1212,Tumpowts=2510);ALthineanegapewndheCumsurinethecommeenemadhediem=200WehoweFedwnSheregapoJyhandwothda.TheTwoaovpuplilioywontfn=HEL(phenao—-—)teimpoTand.dnvthesugeensTamaIC,bbiirermHusesorgrpilio,thaoghtochtlpothonestsasomdguesoto’dufinctM—eD<x<0,ruehaocurweoThancah[0,10]amd[0-10].ButcmacdanandiplownTadTW:PhungsnesasomigieAdiosvenqex<20,Phrgugh,QtheeiomoAdudion(w'=ethane),ondthasughRfhenetxulsadhigeAdudionown%<%<00.SumdanlywmXN.NOTE:Theprecedingproblem,2.4/10b,oronelikeit,isrecommendedfordiscussioninclass,evenincludingtheproblemsencounteredwithphaseportrait.IL.(c)Withx=Uth,=kthespeed=(-4)/(+48-3)Mecomsa4=1-nr—k4AR=0amdEisORand=f.Thonwrkraveqk-3-.-"d=Withar=2F,v=uw,theLdnbeemsa=durLu_(dwmses-iycoMG=-AHSso[Lrgo(da£0bn[wr(i+2wY])==Int+(52CFeoonineeA0*LnTur(+2007)=FaroCieHn5:PuttingJrock.w=N/a,maneU=XHamdN=Ml,aaN20+(x-3)y~%=AN*|whineA5antcrilandcande*fonxaoanualaluadfunc4of§coAscblerluidJonctiod4x.TheAdlets1aonda73fea.dited,wnExeneie10bamd,canbeihuminatid:§usithon,mangsphBpLL
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 11 preview imageSection2.4100-1—-inN=_-.3(€3]"=iLetTraypodor=ead=1422Twa,priJdw=[dx40turyLhacan-e)=x4C,er,ata)+bn(+n-6)=3x4iedtheAbasonsifiedform.N12.dat=kNF,NPN=kat,NEFskE+C(p#1),N=[e-prrep]"™Fonpet,Noto[ipdkE]™=tfakinep=18sS40070;nieoBTAATppdFonp>1,Nit)=Th-oowkTH0asfoie0RedwnTome4N,svcNo=APgoeof=NgP.Thue,Nt)»ao£-T,hareT=1/Lep-0RNE™]._BN13.dN/At=@-bNIN,N©O=N,.WcthX=atawdN=bNA,LaNsyaNSNOnNioy=No=2=(abEENoud=0-OR;oNaNoB=AL,boii-dR)=R4R,fis=ce’,Noy=pgioC=:Tho,Niti=-Ce__Fer|1-Ce*5et__e|TereMeLtFETstandforforce,bungthc.amdHime.BoyTuadm’02ndLaur;Masedomollamdufpenndind:mace=fe=FTximFHLx£cFT/L+F/RFF8)Vi%Fd.6%XTTomendumensemaluigTmemudacondrnadim4theponamidinathalhaowonds4T,rchaoVi,Xo/f,Mic,Clk;hechocdomKdiigarLefmomaneVid,pe.Thed4a,TX=o.TomendamensconaligexmemudacomdrnationAtheparamiingthathaaansAZL,naseacsXo,X,/0,F/R,amd20en.LellaioMonYo,pony:XE5Netimgthddt=§4T,nangQteqmanBedewRE)+cLAXE)+RXEE)=Fan5%,E0)=%,MIEFaWERTCIE(x)+&PERoeLax
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 12 preview imageSection2.511ouMW,£x+CrIZ1kot,%=Fain;%(0)=1EOXe[x*[4]___zmmeaFee*(ra)=f)Ho,0(5)oLI3-~i.-~~oA)premdinc33,8salendhemdheregalem(hominid)poodle.HowCamant.neathalo,@,%,§anemandamenaconad2a)pymoethefuelHeatARLomsandhefinalsquat(on,amdeedoehe)mastbanetheDamemmdls,Sei2X/AXAocwheFrthethinLoma,andwmTialcode.RECeealizationsomEmagus.HowerthefonsmamipuindiimcraindParamdliniyigo,1.2,AndonothechicomodeamMendontunsonaliction.Section2.5x3Lb)My=o,N,=ov2E_x*-Foxm=fax=£+Ay)sU*Fonso+Aty)=oAo=irsF+C5)Fo=£452£°C=emstondtamoa)=sBo.Thun,M(9)=-1GatoP-1=Bs0R=1722,#0%+Jehes)Mg=1,N71VvE=ed+z~>Fuyz)=f(e¥+2)oy=e+R-B3E=msinz=+H(2)20Al)=-fouiedz=consoFiyn)=Enz+ez+C=cml.geoeeyzrenz=8,ay.Them,200)=0geo€240+6r0=BguesB=,80¥+yz+enz=l.th)My=cory+cRX,Ny=etony)aiitAF/ax=frwnty+Mex=>Fixu)=fogeorodnKhun]Ch5yOF/=AHH+Xp)=Kor+d+)AoA=fodAoFem)=XamAinC=.geohhoyThem,MR)=3geo2mn3+34n2=B,RORung+NXT2inB+Bm.4Moz0My=R,sothesquintdeeelofAsb.oe5.(6)Mey,N=chun,MyNy.My=todosel=f=fingxAOT(x)=ex=eroy5ndeaiasreFtbnady=0.OF/ox=4=>Frxy)=[4-3=mbnx+Ney)rgRExAoheC.Thus,Foxgy=mbnx+C=emikFucaadn=32mon=B/mx.hax©M=1,N=x,My#N,..MyNoc=ol=INgxdene,maze =%Thus,sealstheODEanfdr+dy=0.
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 13 preview imageSection2.512SFhx=4=Foum=[ox=batRoy)3F/om=1=0+hwy)0Awmy=m+CAThus,Foun)=Dnx+m+C=cpl.Iritn=8,,HO=tnx4B.(Ah)Hoe,“tao2.Mzl-x-zN=1,MAMe-Nx_1-0=_)=gm.42,soTl)=ef=eXPhas,pede#%0DENae,E*(-x-2)dx+€*42=0Fhx=EX(-x-2)>F(x,2)=[EX(1-x-1)ax=(x2)+A(z)3Fhz=t=£%Ae)soA=C.Tho,Fix,9)=€%(x+2)+C=coat.farEX(+2)=Ba1,3wemnch,200=Bex56.IM(pr-q)an+=dy=0;My=pelPN=peltty™MFox=epg)»Fox)=§™(py-gron+AFlo=ef-{pea+A])(pet..Tria4aAIF),nothisdignellgueeBwhichcancelowithdheLbsLivm.mdheLt,qaengO=Ap),Rtg)=emt,Thue,Flam)=Jepy-ppdn+epi.=‘con.“gua{SPgy[Standx=C3dpean[eyTio=fptnmedabeTegn[RegqeEES)INSedx=[d(e=aoHe5artthsoHeEyppdETOTTyFlory=eiFon)=elf+BayFhx=IPH(4-2)=pS+Bex)gureBm)=~fea+e.20Fog=eal.guremereefgn+endl.=coal)duckGuothesame,Indmene.canily.(5)(My=N)/N=(acta—6x-419)/(sady)#dqxalone|CnWM=:Y/(3xy+2MF)E«CmaoTO)andTy)domdwus.TyT=xingAME(3m+2el+Xb(3x4404Yay=OnurMnewsNSAMy=N,de,3xbrig+2x(pry=3tar2)%Pre)XHwhichCamhipdiafudoykgB(b+1)=3(a+2)amd2(b+2)=a+1),ie,a=lamdb=2.Thenunaginae(a*+2m")dot+(325>+44>)dy=OFox=3Lm>roxm¥—F=f(s+auytyon=NutAeFlom=33x?=3A+UR+Ny)=>Beg=coat.AoFx)=Coil.quistheacbutioKapremt=C.]8.Theidea,asthatFOI+§0)dey20Ao“ata,fonamyfunilmna$00)amd,90.Thao,Rog)dot+10)dy=0camdemodewal,an),bydundengvi£00amdhy),ToditaTd+Fp44=0.Thell<a,adm1/Licohey].
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 14 preview imageSection2.513(b)“thao,eXdxryt=0.WecamanySEoxzEXaoF=[eax=S&HandFam=a280onSe,bokiomafin(andsqporedind)fomendmigrate,;FUE-[*ay=0,[2%+4=Cot,Hz1/(Crge™™)..©)Ardy-dy20,[ooxdn/minx=[€™ay=conak.,dom)+£€=Coy,M0)==kIn[A-2bafinki] (2C2A,foncrmenionce)9.(b)(AMO+1)dn+7200,d0=0,My=22e00=N,rowed.M(2,8)N(,8)Fon=2mmB+1=>F109)=[eraums+l)an=seme++Ace)Hho=TED=eke+Alte)quesAB)=endl.)poFine)=cmaguiothesdulionPane+=Co(eaddnda$3156)Om),offdeavnid.)©(uy-e?)dx+X(x-e?)dy=0,M,=2x-e9=N,,sowe.Flax=224)€%Foy)=1(2x—e't)w=xxl+Aw)oF/an=x%xed=x=-xe?+pres)GuteAo=emit,pory-xel=C.10.@'=4(onanymowyanoconsland)1(6)Nomacsooly.Forex.iYMarg)=amdMoya)=€9%,HonMytng)=xe?mrhenvagMylgxy=me*d2xe*d.12.Fa=C,sopatiendonplutosmFig)=Fea,b).13.Dito(MtPhy=(N+),7Yao,becsuae&guaPALA00=0v
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 15 preview imageSection3.214CHAPTER3Section3.21.(6)AAXsvBessLT,po4%cantbeLith.NO.2.(b){a5x,Antl,x13.(CHn)=(x)=x=+[t=(x2)+(2-1)ie,LHR)—£(rx)=(x)-+(x1)=O.@)6(0)+0(x)+0(x*)=O,suns£,0,0anemlallgncBh)6(0)-3(20)+0x)=0,aching6,-3,0anemelAMgro,3.(b)TewTheron3.2.2:axghtetWLe™..,e71=[aea.ae.BuyprdptyDumSection104tha&"oeax[EETT=Sirear|Hn&OpGn.TheLdnAmmantoafreht|Verdomodedomed(ouAGyOp,Gyn|ExtreselT,Sedum104)0ofdheia0are.duneThamTrldifimmimand,anddumceW(smedhe58%fineanenovpnofoallx)iomevienoBtfellasfromPheorom3.2.2Ahatdheag20anedtindtThon[€%..,€0%]soLL.Suncdy,iftheGjanemodst]Fhemdheata5LD.Forpatpre=z,fonamatimce.Them45%+0—4dS£0M™++06=0Lattheeffpeant40-4,0,..,0metallO.©)IHX+X?WILL,1+X¥]=E12x|=u=220po(Mhepumz.z2)LT002).©Wpmx,cox,wha]=Essexa|==—2pmhx,thick“AX=CpXAuxKooodsdurtieally0onamywhirl.Hower(Theaum3.22),LT.[€9)2R-_RNWoewe)=[YJ]=25achedonikidiocy©onomgwindHence(Phenom3.2.2),LT.SimcadheanewlToforahad,Adomipniflan$2woePheocum3.24:nadhun,46&AeallanmultipleoThehen;Aunce,theyaneLT.@LLAyTherom.3.24.4,7b)2xC2Wem,cn2x]=leesSonal=-2%0no(Thm.323)LT.
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Solution Manual For Advanced Engineering Mathematics, 2nd Edition - Page 16 preview imageSection3.315©)(05m(0),weALgmaSheAahfoundrodentdhefurlindaneandudtLe:£.=|e*xe*~Yeey|&q$eODE)W&etx”or]Ce|+L.|e*sexe”et|2x16byprepDT(Sudboniod),=€°%(9)#020(Mhm.32.3)LT.Ofcome,ltdexmudreeDT,4stcold.punplyig5.0)Wi=[B31=Gti-ging)’=dal+aigl~9%ENTWe;So,_=9Cpofiopco)=PipaMePreRitR20=PYM=)andM3+RAHRYO=p9rh=-We7:oF1%#lAg-$3pontPhim,(9)anSedm2.2guiaWen=Wig)©78oY6.(a)HY*aneLDthmGu,0+0,M,00=0(mT)wth4,6,mkAth0.YunG)Gd/NGyBENMPWRIND.Lit2,%0,say.ThinAtcomdamitbya;andodaMan==Jann),20Ah“opprumleanamadtiplea:Comedy,pgpeeme(oanih)Comheanprussedaoamdipleofthe©:y=ota.Thm“1U,00=lly(X)=Othang,mddsthtffeeaoaneno(vicethefirst401);Aumee4,4,aneLD.(B)LekU,0)=0,poy.ThinsurlyOU,(2)+5M,(x)+OUs(X)++++OUKK)=Owththecrfprecimis05,0,.,0amitall0.Homertheat5LD.©)Ginx)++GpU0)=BU(x)++Bpllplx) gueo.(mb)00+++(n=BANK)20.SmeeLappythn,aeLT,ifollowsthtG-b,=0,...,Gy-bn=0;ie,Q=byy+,4n=by-7.No,&&decometfellow.Forwx,14amdxaneLT(Thm3.2.4),4and[+21aneLT,amdxamd+2aneLT,mid{1,%,1+2%340LDadnceIN-2(x)+1(1+2X)=O.CoLo8.No,because.theHagumdatomdapplysceBocondFimaanewdwl’.)SpeegcallyAly,p=b/gamdPoo)=6/%aremkcodimimioomnflcotamnuiyHepoutx0.P1cSection3.31.(b)e*e*amd°webiliary(snisaaboidudfyaudettition)andthayaneLT(omesomdamadtiplethe),soC(e-e*™)+Ce”AagemanalATE-©)52%ioaadudion,hEttmudTooLTadidimsfonagamnalsdedio.(©)No,wemedHhoueLTsdutima.#Vio.@No(B)VeoVeo
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