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:<math> y_1 = p(t_0 + h) = y_0 + \frac12h \Big (f(t_0+h, y_1) + f(t_0,y_0) \Big), \, </math>
where ''y''<sub>1</sub> = ''p''(''t''<sub>0</sub> + ''h'') is the approximate solution at ''t'' = ''t''<sub>1</sub> = ''t''<sub>0</sub> + ''h''.
This method is known as the "[[trapezoidal rule (differential equations)|trapezoidal rule]]" for differential equations. Indeed, this method can also be derived by rewriting the differential equation as
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