Page 126 - Math Grade 12 (Advance)
P. 126

PROEUS DARA



                 th~ciTf: ttitu~mH~mrn J.}+bA+c  = o  'fstu~m~2tti~i1&'tuJrn


            y"+by'+cy  =  O'i:flS'UtuRati   AI=  <X+iP   sb  Az  =  <X-iP  tS"Ut?lOIStit~tiHHm
                               ~   ·~                                            ~   u









                tJfl:IW  :  tu13m~ tumrnts  (E)  ri  :  A  + n + 2 = o
                  H.
                           ""
                                                   2
                                             ""
                                0
                                    '"
                  1111
                11'  =  I -2 =  -1  =  p  m ~ A. I  =  - 1  i  '  Az  =   1 + i
                tH~t159tm'fs (E)  '?i  y  = e-x(Ccosx + Dsinx)  '1
                  ""   u

                 y'(O)  = 2  '1

                 flj{~f!:

              •  tu~mi2to~i1&tu~rnrncsmrni::hti9 2  H'i§ftus  sh'i:flst13?1Mtd~'i:flsnh~ttm:
                              u                    u  u              1            u

                    y" +by'+ cy = 0   (E)



                     ~Ql      0   t       C»    0   q        -=»       «:::t.
                 n.  mtu13Fn~tumrn'i:flsytum  r:hti~SI:lrittiJhQI?l A. =a  sb  A = p  tS"H
                                                                            2
                                                                 1
                    m~ru!ftm'fs (E)  ?i  y  = Aeax + Bix  ,  A  sb  B  r:hOSStGHl.ffi13ti5flOIS
                      ""   u                                          u        u
                 2.  ttitu~m~Mmrn'i:flsytu~ti'?i A = A. = a  tS18m~ru~tm&s (E)  ?i
                                                1
                                                     2
                     y=Axeax+Beax,  A  Sb  B  r:hOSStGHl.JT113ti5flOIS
                                                    u         u



                    m~ru~ttmts (E)  ?i  y  = ea"'(Ccospx + Dsinpx)  ,  C  sb  D  ctlcrsstGHl.ffi
                      ""   u                                                    u
                        ..
                    ~t15nOIS'1














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