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Initial value problem

In calculus, an initial value problem (IVP) 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 IVP is a differential equation…

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Overview

Definition

Existence and uniqueness of solutions

Examples

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Initial value problem

Nodes27
Edges26
Triples13
Avg. degree1.93
Density0.074074
Components1

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Initial value problem

Top relations

related to Existence and uniqueness of solutions · 11
Initial value problem → An, Banach, Lindelöf, Lipschitz, Picard, Picard's, Such, The, The Banach, The Picard, This
is a · 1
Initial value problem → differential equation y
related to Definition · 1
Initial value problem → An

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Important terminology

initial problem displaystyle value solution equation function theorem differential condition point existence unknown system satisfies y' example unique integral given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Initial value problemis adifferential equation y0.90text
Initial value problemrelated to DefinitionAn0.60section
Initial value problemrelated to Existence and uniqueness of solutionsThe Picard0.60section
Initial value problemrelated to Existence and uniqueness of solutionsLindelöf0.60section
Initial value problemrelated to Existence and uniqueness of solutionsLipschitz0.60section
Initial value problemrelated to Existence and uniqueness of solutionsThe0.60section
Initial value problemrelated to Existence and uniqueness of solutionsThe Banach0.60section
Initial value problemrelated to Existence and uniqueness of solutionsAn0.60section
Initial value problemrelated to Existence and uniqueness of solutionsPicard0.60section
Initial value problemrelated to Existence and uniqueness of solutionsSuch0.60section
Initial value problemrelated to Existence and uniqueness of solutionsPicard's0.60section
Initial value problemrelated to Existence and uniqueness of solutionsThis0.60section

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