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An '''initial value problem'''<sup>[[#Notes|[a] ]]</sup> is an [[ordinary differential equation]] together with an [[initial condition]] which specifies the value of the unknown function at a given point in the ___domain. Modeling a system in [[physics]] or other sciences frequently amounts to solving an initial value problem. In that context, the differential initial value is an equation which specifies how the system [[time evolution|evolves with time]] given the initial conditions
== Definition ==
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