Page 222 - Schaum's Outline of Differential Equations
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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