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0593_C13_fm  Page 477  Monday, May 6, 2002  3:21 PM





                       Introduction to Vibrations                                                  477


                       P13.10.2: Use the method of Krylov and Bogoliuboff to find an approximate solution to
                       the equation:


                                                      ˙˙ xcx p x dx+  ˙ +  2  +  3  = 0

                       where c and d are small constant parameters and where p is an arbitrary constant (this is
                       a form of the Duffing equation).
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