Consider the following two-stage Runge-Kutta method
U^(n+1) = U^n + k(1/4F0 + 3/4 F1)
with F0 = f(U^n,tn)
F1 = f(U^n + 2/3kF0, tn + 2/3 k)
(a). Show the local truncation error is O(k 2 ).
(b). Show the global error is O(k 2 ).
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