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
Abel's Identity
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Source Abel's identity - Wikipedia

Named After

Principal Result Of

Source Abel's identity - Wikipedia

Proved By

Source Abel's identity - Wikipedia
Sources
1. Abel's identity - Wikipedia
  • 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.
  • Principal Result Of: Niels Henrik Abel, Lead sentence of the article on the result
    The identity is named after the Norwegian mathematician Niels Henrik Abel.
  • In Branch: Differential Equations, Lead paragraph
    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.
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2. Wikidata: Abel's Identity
  • Proof Year: 1829
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