# What does ode45 do?

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Lars Cremean, 7 Oct 2002

The MATLAB command ode45 performs a direct numerical integration of a set
of differential equations y' = f(t,y), y(t_{o})=y_{o} from
t_{o} to some final time t_{f}. See "help ode45" for a more detailed explanation.

The "45" part specifies the type of numerical integration used. There are others (ode23, ode113, ode15s, ode23s, ode23t, ode23tb); ode45 is a general-purpose solver. For the gory details, see the associated MATLAB Function Reference.