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CHAPTER 10.  DIFFERENTIAL EQUATIONS


                                    `~ëÉ=NK γ O  > Q âã =EçîÉêÇ~ãéÉÇF=

                                    ó () ^Éí =  í N λ  + _É λ O í  I==
                                    ïÜÉêÉ==
                                         −  γ −  γ O  − Q âã   − γ +  γ O  − Q âã
                                    λ  =                 I=λ  =                K==
                                      N
                                               O ã          O        O ã
                                    =
                                    `~ëÉ=OK= γ O  = Q âã EÅêáíáÅ~ääó=Ç~ãéÉÇF=
                                                    í λ
                                    ó () (^í =  + _í )É I==
                                    ïÜÉêÉ==
                                           γ
                                    λ  =  −  K=
                                          O ã
                                    =
                                    `~ëÉ=PK= γ O  <  Q âã =EìåÇÉêÇ~ãéÉÇF==

                                             γ
                                           −  í
                                                          )ωí
                                    ó ()= Éí  O ã  Åçë ( ^  − δ I=ïÜÉêÉ==
                                               −
                                    ω =   Q âã γ K==
                                                 O
                                    =
                              1179. páãéäÉ=mÉåÇìäìã=
                                     Ç θ  +  Ö  θ = M I=
                                      O
                                     Çí O  i
                                    ïÜÉêÉ= θ = áë= íÜÉ= ~åÖìä~ê= Çáëéä~ÅÉãÉåíI= i= áë= íÜÉ= éÉåÇìäìã=
                                    äÉåÖíÜI=Ö=áë=íÜÉ=~ÅÅÉäÉê~íáçå=çÑ=Öê~îáíóK=
                                    =
                                    qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=Ñçê=ëã~ää=~åÖäÉë=θ =áë==
                                    θ () í = θ  ëáå  Ö  í I=íÜÉ=éÉêáçÇ=áë= q = Oπ  i  K==
                                           ã~ñ
                                                   i                        Ö
                                    =
                              1180. oi`=`áêÅìáí=
                                      Ç O f   Çf   N
                                     i    + o   +   f =  s′ () í =  ω b  Åçë ( ) íω I=
                                      Çí O    Çí  `              M






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