Question: Show that if y C6 [a, b] and if w0, w1, . . . ,wN+1 satisfy Eq. (11.18), then wi y(xi) = Ah2

Show that if y ∈ C6 [a, b] and if w0, w1, . . . ,wN+1 satisfy Eq. (11.18), then
wi − y(xi) = Ah2 + O(h4),
where A is independent of h, provided q(x) ≥ w > 0 on [a, b] for some w.

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