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Theorem

Abel's Identity

Analysis

Abel's identity is an equation, named after the Norwegian mathematician Niels Henrik Abel, that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient taken from the equation itself. The relation generalizes to linear ordinary differential equations of any order.

Facts
Statement
In mathematics, Abel's identity (also called Abel's formula or Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation. 1
Proof Year
1829 2
Classification
Statement Form
Identity or Equation 1
Connections

Named After

Niels Henrik Abel, Mathematicians

Derived from the theorem's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)

Sources
1. Abel's identity - Wikipedia
Lead section
Quote, Lead section
In mathematics, Abel's identity (also called Abel's formula or Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation.
View the Source
2. Wikidata: Abel's Identity
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