数学物理方法-9

1、 yeyuyuxu38), 0(4)4(38),(yxeyxulxx , 0)(|),()0,(0),(),0(022222xtuxxutlutuxuatut)(),(xxxtAtxusin)(),(),(txu)()(),(tTxXtxu 0)()()()0()()()()(2tTlXtTXtTxXatTxX 0)()0()()()()(2lXXtTatTxXxX )()()()(2tTatTxXxX0)()(2 tTatT 0)()0(0)()(lXXxXxX0 0)()0(0)()(lXXxXxX00 xBxAxXsincos)(), 3 , 2 , 1(,)(2nlnn 0)()0(0

2、)()(lXXxXxX), 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)(1

3、nnxdxxfan), 3 , 2 , 1(,sin)(1nnxdxxfbn10)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)(20nx

4、dxlnxflaln), 3 , 2 , 1(, 0nbn10cos2)(nnxlnaaxfnalanbn)(x)(xl , 0lnxdxlnxla0sin)(2lnxdxlnxanb0sin)(2xlntNxlntlanbtlanatxunnnnnnsin)sin(sinsincos),(22nnnbaNnnnbaarctanlann),(txunl , 01n), 2 , 1 , 0(nmnmlx),(txun),(txunl , 0), 2 , 1(2) 12(nknlkxk),(,),(),(21txutxutxun0 xlx )(x)()0 ,(0),(, 0), 0()0,0(22

5、2xxutlututlxxuatu)()(),(tTxXtxu)()( )()(2tTatTxXxX 0)()(2tTatT 0)(, 0)0(0)()(lXXxXxX), 3 , 2 , 1(2nlnn), 2 , 1(sin)(nxlnxXn0)()(2tTlantTnn), 3 , 2 , 1()(2neCtTtlannn11sin),(),(2ntlannnnxlneCtxutxu1sin)(nnxlnCx), 2 , 1(sin)(20nxdxlnxlClnlxx , 0)(x)()0 ,(0|, 0|)0,0(0222xxuxuxutlxxuatulxx)(x)()(),(tTxX

6、txu)()( )()(2tTatTxXxX 0)()(2tTatT 0)(, 0)0(0)()(lXXxXxX000 xBxAxXsincos)( 0)(, 0)0(0)()(lXXxXxXBxX)(), 3 , 2 , 1(2nlnn0)()(2tTlantTnn), 3 , 2 , 1()(2neCtTtlannn), 3 , 2 , 1(,cos)(nlxnAxXn10cos21),(2ntlannxlneaatxu), 2 , 1 , 0(cos)(20nxdxlnxlalnaxx , 0byy , 0)(xf)(xg)(),(),()0 ,(0),(, 0), 0()0 ,0(02

7、222xgbxuxfxuyauyubyaxyuxu)()(),(yYxXyxu )()()()(yYyYxXxX0)()( yYyY 0)(, 0)0(0)()(aXXxXxX), 2 , 1(2nann), 2 , 1(2nann), 2 , 1(sinnaxnXn0)()(2 yYanyYnn), 2 , 1()(neDeCyYyannyannn1sin)(),(nyannyannaxneDeCyxu11sin)()(sin)()(nbannbannnnnaxneDeCxgaxnDCxf)(sin)(sin)( 2)(sin)(sin)( 20000banbanaabannbanbanab

8、ananeeadxaxnxgdxaxnxfeDeeadxaxnxfedxaxnxgC0R),(ru, r0Rr )(),(0fRu)20)(f)2 () 0 (ffsin,cosryrxcossinsincosryurxuyyuxxuuyuxuryyurxxurusincoscoscossin2sinsincoscossincoscossinsinsincoscoscossinsinsincossin2cossinsincoscos222222222222222222222222222222222222222222222ryurxuryuryxurxuryuryurxxyurxuryxurxu

9、ryuryyurxxyurxuryyxurxxuuyuyxuxuryyurxxyuryyxurxxuru)(),()20 ,0 (0110022222fRuRrurrurru)2,(),(ruru), 0(u)()(),(rRru )()()()()(2rRrRrrRr )0(0)()()(2RrRrRrrRr )2()(0)()(0BeAe)(00)(B0)()()(2 rRrRrrRr00)(DrR000021),(aDBru0sincos)(BA), 2 , 1(2nnnnsinncos0)()()(22 rRnrRrrRr, 2 , 1nrDrCRnnnnnter rtlndtdRrd

10、rdtdtdRdrdR1dtdRdtRdrdtRdrdtdRrdrdtdtRdrdtdRrdtdRdrdrdtdRrdrRd222222222222211111)(110222RndtRdnnntntrcrcececR2121), 3 , 2 , 1()sincos()()(),(nrnbnarRrunnnnnnnnnnnnCBbCAa,100)sincos(21),(),(nnnnnnrnbnaaruru), 3 , 2 , 1(sin)(1), 3 , 2 , 1 , 0(cos)(1200200ndnfRbndnfRannnn0|, 0)0 ,(0),(, 0), 0()0,0(),(0

11、22222ttuxutlututlxtxfxuatulxnsin1sin)(),(nnlxntutxu)(tun1sin)(),(nnlxntftxf), 2 , 1(,sin),(2)(0ndxlxntxfltfln), 3 , 2 , 1()()()(2 ntftulantunnn0) 0() 0(nnuu 0)0()0()()()(2nnnnnuutftulantulatnsinlatncos)()cos()()sin()(0sin)(cos)(2121tflatnlandttdClatnlandttdClatndttdClatndttdCntntndlanfanltCdlanfanlt

12、C0201cos)()(sin)()(), 3 , 2 , 1()(sin)(cossin)(sincos)(cos)(sinsin)(cossin)(cos)()(000021ndltanfanldlatnlanflatnlanfanldlanfanllatndlanflatnanllatntClatntCtutntnntntnn10sin)(sin)(),(ntnlxndltanfanltxu)(|),()0 ,(0),(, 0), 0()0,0(),(022222xtuxxutlututlxtxfxuatut),(),(),(txwtxvtxu),(txv0|, 0)0 ,(0),(,

13、0), 0()0,0(),(022222ttvxvtlvtvtlxtxfxvatv),(txw)(|),()0 ,(0),(, 0), 0()0,0(022222xtwxxwtlwtwtlxxwatwt0)0 ,(0),(, 0), 0()0,0(),(222xutlututlxtxfxuatu),(txulxnsin1sin)(),(nnlxntutxu1sin)(),(nnlxntftxf), 3 , 2 , 1(sin),(2)(0ndxlxntxfltfln0)0()()()(2nnnnutftulantu)()(xqyxpdxdy00)(yxyxxdttpdpdeqyeyxxx000

14、)(0)()(ttlanntlanntlantdlanndlanndefdefedefetut0)(002220202)()()(0)( 10)(sin)(),(2nttlannlxndeftxu),(txw),(),(),(txwtxvtxu),(txv)(|),()0 ,()(),(),(), 0()0,0(),(02122222xtuxxuttluttutlxtxfxuatut),(),(),(txwtxvtxu)(),(),(), 0 (21ttlwttw)()()(),(112tttlxtxw)(|),()0 ,(0),(, 0), 0()0,0(),(101122222xtvxxvtlvtvtlxtxfxvatvt ),0()0()0()(|)()(),0()0()0()()0 ,()()()()()(),(),(),(112011121112222221lxxt