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{{Short description|Type of calculus problem}}{{Inline citations|date=May 2024}}
In [[multivariable calculus|dingus calculus]], an '''initial value problem'''{{efn|Also called a '''[[Cauchy problem]]''' by some authors.{{cn|date=December 2018}}}} ('''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]]. 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 ==
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