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CHAP. 20]            SOLVING SECOND-ORDER   DIFFERENTIAL EQUATIONS                    205















































               See Table 20-6.




                                                 Table 20-6

                      Method:  ADAMS-BASHFORTH-MOULTON METHOD
                                 2
                      Problem:  3x y" -xy'  + y = Q; y(l)  = 4, /(I) = 2
                                            h = 0.2
                 x n
                                                                               True  solution
                          py n         PZn            y n          •^n        Y(x)  = x + 3x 113
                                                                   •7
                1.0        —            —         4.0000000       2.0000000      4.0000000
                1.2        —            —         4.3879715       1.8855447      4.3879757

                1.4        —            —         4.7560600       1.7990579      4.7560668
                1.6        —            —         5.1088123       1.7309980      5.1088213

                1.8    5.4490260     1.6767876    5.4493982       1.6757705      5.4493212
                2.0    5.7796793     1.6303746    5.7798739       1.6299149      5.7797632
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