Initial value problem: Difference between revisions

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{{Short description|Type of calculus problem involving ordinary differential equations}}

In [[multivariable calculus]], an '''initial value problem'''^{[[#Notes|[a] ]]} ('''IVP''') is an [[ordinary differential equation]] together with an [[initial condition]] which specifies the value of the unknown [[function (mathematics)|function]] at a given point in the [[___domain of a function|___domain]]{{dn|date=December 2020}}. 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 of the problem.

== Definition ==