第四章：常微分方程.pdfVIP免费

21xydxdyCxyarctanlnlnarctanlnxyln4ln1arctanlny4ey【解】,0122rr,121rr.)(2xexBAx【解】1,1,1r01)1()1(232rrrrr【解】,0842rr,222,1ir).2sin2cos(22xAxBxeAeyxx【解】xxxxeeCeCy2212,121rr02)2)(1(2rrrr【解】xCxCeCyx2sin2cos321irr2,13,21,044)4)(1(232rrrrr【解】,022r,2,1r).(xxbeaexy【解】xxxyxy1lndd)ln1(ln21xxy【解】222xxyyCxxxy251xxy351【解】.0)1()1(yxdydxeyx,uyx【解】令uueeudyduy1ydydueueuu1yCeuulnlnCyeuu1Cyexyx1xxeCeCy21【解】,12,1r,012r.1,0baxeyy,xaxey.21a.2121xxxxeeCeCy【解】,012r.2,1irxCxCysincos21]sincos[xcxbxaxy.21,0,1cbaxxxxCxCysin21sincos21,2)0(21)(lim)(lim020fxxyxxxyxx【解】xeyxyxy2)1(0x.2)0(y.1a,0342rr【解】,3,121rr.2xaey,2a.22231xxxeeCeCy02223rrr0)1)(2(2rrir,2xCxCeCyxsincos2221【解】).61(125)5(tCytt【解】【解】;2)5(22tttttCy【解】xxeCeCY221xAxey2A.xxxxeeCeCxy2)(2211,100xxyy.12,12121CCCC0,121CCxexy)21(,212xyyxeyy13【解】3221xeCxCyxeCxCy212xeCCy212)1(21xCyy3)2(21xxCyy)1(6)1(2)2()2(22xyxyxyxxxy132)(1)(xxxxxy,【解】yxx2eyyyCCx221e31eexxxdttftdttfxxf00222)()()(xxxfxtfxdttfxxf0222)()()(2)(xfxfx2)]0()([2，，【解】xxxfxf2)(2)(CdxxeeCdxxeexfxxxdxxdx2222)(222221)(xxxCeCee,utxxxxxduuufduufxufuxdttxtf0000)()()()()(xdttfx0)(xxduuufduufx00)()(【解】令xduufxf0)(1)()()(xfxf1)0(f.)(xexf,xxxxtfedttfeexf022.)]([)]([)(【解】令,)]([)()(2xfexfxfx.)(1)()(2xexfxfxf...