数学物理方程下课件.ppt

1、数学物理方法lxx,0)(|),()0,(0),(),0(022222xtuxxutlutuxuatut)(),(xxxtAtxusin)(),(),(txu)()(),(tTxXtxu )()0()(),()0()(0)()()()0()()()()(2xTxXxTxXtTlXtTXtTxXatTxX 0)()0()()()()(2lXXtTatTxXxX )()()()(2tTatTxXxX0)()(2 tTatT 0)()0(0)()(lXXxXxX0 0)()0(0)()(lXXxXxX00 xBxAxXsincos)(),3,2,1(,)(2nlnn 0)()0(0)()(lXXxX

2、xX),3,2,1(sin)(nxlnBxXnn2)(lnn0)()(2 tTatT0)()(2222 tTlnatT),3,2,1(sincos)(ntlanDtlanCtTnnn),3,2,1(sinsincos)()(),(nxlntlanbtlanatTxXtxunnnnnnnnnnnDBbCBa,)(x)(x11sinsincos),(),(nnnnnxlntlanbtlanatxutxunnba,0t1sin)()0,(nnxlnaxxu10sin)(|nntxlnlanbxtu)(xf2),2,1,0(,cos)(1nnxdxxfan),3,2,1(,sin)(1nnxdxxfb

3、n10)sincos(2)(nnnnxbnxaaxf)(xfl 210)sincos(2)(nnnxlnbxlnaaxf),2,1,0(,cos)(1nxdxlnxflalln),3,2,1(,sin)(1nxdxlnxflblln)(xfxlnxfcos)(xlnxfsin)(),2,1,0(,0nan),3,2,1(,sin)(20nxdxlnxflbln1sin)(nnxlnbxf)(xfxlnxfcos)(xlnxfsin)(),2,1,0(,cos)(20nxdxlnxflaln),3,2,1(,0nbn10cos2)(nnxlnaaxfnalanbn)(x)(xl,0lnxdxln

4、xla0sin)(2lnxdxlnxanb0sin)(2xlntNxlntlanbtlanatxunnnnnnsin)sin(sinsincos),(22nnnbaNnnnbaarctanlann),(txunl,01n),2,1,0(nmnmlx),(txun),(txunl,0),2,1(2)12(nknlkxk),(,),(),(21txutxutxun0R),(ru,r0Rr)(),(0fRu)20)(f)2()0(ffsin,cosryrxcossinsincosryurxuyyuxxuuyuxuryyurxxurusincoscoscossin2sinsincoscossincos

5、cossinsinsincoscoscossinsinsincossin2cossinsincoscos222222222222222222222222222222222222222222222ryurxuryuryxurxuryuryurxxyurxuryxurxuryuryyurxxyurxuryyxurxxuuyuyxuxuryyurxxyuryyxurxxuru)(),()20,0(0110022222fRuRrurrurru)2,(),(ruru),0(u)()(),(rRru )()()()()(2rRrRrrRr)0(0)()()(2RrRrRrrRr)2()(0)()(0BeA

6、e)(00)(B0)()()(2 rRrRrrRr00)(DrR000021),(aDBru0sincos)(BA),2,1(2nnnnsinncos0)()()(22 rRnrRrrRr,2,1nrDrCRnnnnnter rtlndtdRrdrdtdtdRdrdR1dtdRdtRdrdtRdrdtdRrdrdtdtRdrdtdRrdtdRdrdrdtdRrdrRd222222222222211111)(110222RndtRdnnntntrcrcececR2121),3,2,1()sincos()()(),(nrnbnarRrunnnnnnnnnnnnCBbCAa,100)sincos(2

7、1),(),(nnnnnnrnbnaaruru),3,2,1(sin)(1),3,2,1,0(cos)(1200200ndnfRbndnfRannnn)(|),()0,()0,(022222xtuxxutxxuatut)(),(xxatxatx,uuxuxuxuuauatututu22222222uuuuuuuxxuxxuxu22222222222uauauauauaauauaatxuttutu)()(21atxfatxfu)()()()()()(2121xfaxfaxxfxfxatxatxdaatxatxtxu)(21)()(21),()(),(11atxftxu)(),(22atxftxu

8、)(xatxatx,tx,tx,a10t21,xxatxx1atxx121,xxatxxatx2121,xxtx,a1Catx)()(21),(atxatxtxuatxatxdatxu)(21),(),(|),()0,()0,(0222222222zyxtuzyxzyxutzyxzuyuxuatut),(zyx),(zyx),(tzyxu),(tzyxu),(zyxMu),(zyxMuu),(tru0r),(),(tzyxutru21)(2)(2)(21)()(21),(uudattdatttdaatxatxtxuatxatxatxatxatxatxatxatxdGat)(21)(xGatxa

9、tx,),(txV),(),(1txtVttxu),(),(2txtVtxu22222xuatuMatMatMatMatSSSSdSatadSattadStatdStatttzyxu),(41),(41),(4),(4),(2222ddtadSsin22)0(cossinatx)20(sinsinatycosatz),(|),()0,()0,(02222222yxtuyxyxutyxyuxuatut),(yx),(yxMatMatdyxatadyxattatzyxu222222)()()(),(21)()()(),(21),(badtstKtfsF),()()(ba,),(stK)(tf)(s

10、F)(tftjetK),(,badtetfsFtj)()(0)()(dtetfsFststestK),(,0,badedefdetftjjtj)(21)(21)()(tf,dttf)(为间断点当为连续点当ttftftdedeftftjj2)0()0()(21)(0)(cos)(1)(ddtftf0sin)(cos)()(dtBtAtfdfAcos)(1)(dfBsin)(1)(000sinsin)(2sin)()(tddftdBtf000coscos)(2cos)()(tddftdAtfdedeftftjj)(21)(dtetfFtj)()()()(tfFFdeFtftj)(21)()()(1

11、FFtf00sinsin)(2)(tddftf0sin)()(tdttfFs0sin)(2)(tdFtfs00coscos)(2)(tddftf0cos)()(tdttfFc0cos)(2)(tdFtfc)()()()(2121FFtftfF)()()()(21211tftfFFF)(2)(ftFF)(1)(kFkktfF)()(FtfF0),(1)(kktfkkFF)()(00FettfFtjtjetfFF0)()(01)()(FjtfF)(tft0)(tf)()()()(FjtfFnn)()(FddjttfF)()(FddjtftFnnnntdftg)()(0)(limtgt)(1)()(

12、FjdfFtgFt0)0()()(lim)(limFdfdftgttt)()0()(1)()(FFjdfFtgFt)()()()(2121tftfdtff1221()()()()f tftftf t123123()()()()()()f tf tf tf tf tf t1231213()()()()()()()f tftf tf tftf tf t1212()()()()f tf tf tf t122()()()()F f tf tFF11212()()()()FFFf tft1221()()()()2F f tftFF)(|),()0,()0,(022222xtuxxutxxuatut)(|

13、),()0,(0),(),(02222ttUUtUattUtaatatUsin)(cos)(),()()(21cos1atxatxtaF)()(21sin1atxatxtaFatxatxatxatxdaatxatxdaatxatxxtaataFtUFtxu)(21)()(21)(21)()(21*)(sin)(cos)(),(),(11,)()()()()()(0)(jFdtetfdteetHtfetHtfFtjtjtt)0()(21)()(tdejFtftj0)()()(dtetftfLsFstjs)0()(21)()(1tdsesFjsFLtfjjst)(tf)(tf)0()(212)0(

14、)0(tdsesFjtftfjjst)(tHtsgn1)(tfsesdtedtetHtHLststst1|1)()(0000Re s0,111tsL)(tf0M0c0ttMetfct0,)()(tf)(tftetH01)(0,1cMktktee1)0(,1kkcMtekt01sin0,1cMtnent!1,!cnM2tecttMee2)(tf0t0)(tf)(tf0t)(tf)(tfcsRemttf)()0(Re!1ssmtLmm)(tf,00)()(ttfTtf)(tf)0(Re)(11)(0sdtetfesFTstsT)()()()(2121sFsFtftfL)()()()(21211tf

15、tfsFsFL)(1)(asFaatfL)(1)(1atfasFL)()()(sFetHtfLs)()()(1tHtfsFeLscasasFtfeLat)Re()()()()(1tfeasFLat)0()()(fssFtfL10)(1)1(21)()0()()0()0()0()()(niiinnnnnnnfssFsffsfssFstfLcsttfLsFRe),()(cstftLsFnnnRe),()1()()()(1)(0sFsdfLt)(1)(000sFsdfLnnttt sdF)(sdFttfL)()()()(1sdFLttf)()(nnsssttfLdFtdtfftftf02121)()

16、()()()()()()(1221tftftftf)()()()()()(321321tftftftftftf)()()()()()()(3121321tftftftftftftf)()()()(2121tftftftf)()()()(2121sFsFtftfL)()()()(21211tftfsFsFL)()()()()()(2121sFsFsFtftftfLnn00s0,Re:)2(jRsC)(sFsResRe Rs0RstesF)(0t0)(limRstRdsesF)(sF)(sFnppp,21sRes0)(sF)(tf)0(,)(Re)(21)(1tpesFsdsesFjtfnkkst

17、jjst,)(RekstpesFsstesF)(kp)()()(sBsAsFtpkkkstkepBpApesFsBsAs)()(,)()()(Re)()()(lim)!1(1,)()()(Re11111stmmmpsstesBsApsdsdmpesFsBsAs2)1(1)(sssF0s1s)0()1(1)(1)1(lim11lim1)1(1)1(lim|1431)(21122102tteeteesestesdsdesssdsdesstftttststsstsstssstxxutututxxuatusin4)0,(0),1(),0()0,(2220),(),(),(dtetxutxuLsxUst0),(),(),(dtetxutxuLsxUst0),1(),0(sin4222susuxsUdxuda22sin4),(asxsxUxeaasxsasxLtxutasin4,sin4Resin4),(222222221