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(a) Show experimentally (with numbers) or algebraically that the BS23 algorithm is exact for f(t, y) = 1, f(t, y) = t, and f(t, y)

(a) Show experimentally (with numbers) or algebraically that the BS23 algorithm is exact for f(t, y) = 1, f(t, y) = t, and f(t, y) = t 2 , but not for f(t, y) = t 3 .

(b) When is the ode23 error estimator exact?

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