Editing Initial value problem (section)

{{Short description|Type of calculus problem}}{{Inline citations|date=May 2024}}

In [[multivariable 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.