Repeat Exercise 3(a) and (b) using the extrapolation discussed in Example 2. In exercise 3(a) and (b)
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In exercise 3(a) and (b)
a. y" = 3y' + 2y + 2x + 3, 0 ¤ x ¤ 1, y(0) = 2, y(1) = 1; use h = 0.1.
b. y" = 4x1y' + 2x2y 2x2 ln x, 1¤ x ¤ 2, y(1) = 1 / 2, y(2) = ln 2; use h = 0.05.
Example 2
The results are listed in Table 11.4. The first extrapolation is
the second extrapolation is
and the final extrapolation is
Table 11.4
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