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The result is approximations for the value of <math> y(t) </math> at discrete times <math> t_i </math>:
: <math> y_i \approx y(t_i) \quad\text{where}\quad t_i = t_0 + i h, </math>
where <math> h </math> is the time step (sometimes referred to as <math> \Delta t </math>) and <math>i</math> is an integer.
Multistep methods use information from the previous <math> s </math> steps to calculate the next value. In particular, a ''linear'' multistep method uses a linear combination of <math> y_i </math> and <math> f(t_i,y_i) </math> to calculate the value of <math> y </math> for the desired current step. Thus, a linear multistep method is a method of the form
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