Solve y' = 2x -1 y - lnx + x -1 , y(1) = 0 for 1
Question:
Solve y' = 2x-1√y - lnx + x-1, y(1) = 0 for 1≤ x ≤ 1.8
(a) By the Euler method with h = 0.1,
(b) By the improved Euler method with h = 0.2
(c) By RK with h = 0.4. Verify that the exact solution is y = (ln x)2 + ln x. Compute and compare the errors. Why is the comparison fair?
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