Question: Solve y' = 2x -1 y - lnx + x -1 , y(1) = 0 for 1 x 1.8 (a) By the Euler method

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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