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: <math> \begin{align}
\tilde{y}_{i+1} &= y_i + h f(t_i,y_i), \\
\hat{y}_{i+1} &= y_i + \tfrac12 h \bigl( f(t_i, y_i) + f(t_{i+1},\tilde{y}_{i+1}) \bigr)
y_{i+1} &= y_i + \tfrac12 h \bigl( f(t_i, y_i) + f(t_{i+1},\hat{y}_{i+1}) \bigr).
\end{align} </math>
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