Page 310 - 1300 Math Formulas
P. 310

CHAPTER 10.  DIFFERENTIAL EQUATIONS


                              1176. aáÑÑÉêÉåíá~ä=bèì~íáçåë=ïáíÜ=ñ=jáëëáåÖ=
                                         Ñ ( ó = ′ ′  ) ó I ó ′ K==
                                    pÉí=ì =  ó′ K=páåÅÉ==

                                    ó = ′′  Çì  =  Çì  Çó  = ì Çì  I==
                                         Çñ   Çó  Çñ    Çó
                                    ïÉ=Ü~îÉ=
                                      Çì
                                    ì      Ñ ( =  ) ì I ó  I==
                                      Çó
                                    ïÜáÅÜ=áë=~=Ñáêëí=çêÇÉê=ÇáÑÑÉêÉåíá~ä=Éèì~íáçåK==
                                    =
                              1177. cêÉÉ=råÇ~ãéÉÇ=sáÄê~íáçåë=
                                    qÜÉ=ãçíáçå=çÑ=~=j~ëë=çå=~=péêáåÖ=áë=ÇÉëÅêáÄÉÇ=Äó=íÜÉ=Éèì~-
                                    íáçå==
                                    ã && ó + âó =  MI==
                                    ïÜÉêÉ==
                                    ã=áë=íÜÉ=ã~ëë=çÑ=íÜÉ=çÄàÉÅíI=
                                    â=áë=íÜÉ=ëíáÑÑåÉëë=çÑ=íÜÉ=ëéêáåÖI=
                                    ó=áë=Çáëéä~ÅÉãÉåí=çÑ=íÜÉ=ã~ëë=Ñêçã=ÉèìáäáÄêáìãK=
                                    =
                                    qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë==
                                                    )ω í
                                    ó   ^    (= Åçë  M  − δ I==
                                    ïÜÉêÉ==
                                    ^=áë=íÜÉ=~ãéäáíìÇÉ=çÑ=íÜÉ=Çáëéä~ÅÉãÉåíI=
                                                                                      Oπ
                                    ω =áë=íÜÉ=ÑìåÇ~ãÉåí~ä=ÑêÉèìÉåÅóI=íÜÉ=éÉêáçÇ=áë=q =  ω  I=
                                      M
                                    δ =áë=éÜ~ëÉ=~åÖäÉ=çÑ=íÜÉ=Çáëéä~ÅÉãÉåíK=             M
                                    qÜáë=áë=~å=Éñ~ãéäÉ=çÑ=ëáãéäÉ=Ü~êãçåáÅ=ãçíáçåK==
                                    =
                              1178. cêÉÉ=a~ãéÉÇ=sáÄê~íáçåë=
                                           ó +
                                    ã && ó + γ&  âó = M I=ïÜÉêÉ==
                                    γ =áë=íÜÉ=Ç~ãéáåÖ=ÅçÉÑÑáÅáÉåíK==
                                    qÜÉêÉ=~êÉ=P=Å~ëÉë=Ñçê=íÜÉ=ÖÉåÉê~ä=ëçäìíáçåW=
                                    =




                                                            300
   305   306   307   308   309   310   311   312   313   314   315