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- Q1827325 subject Q7481094.
- Q1827325 subject Q8266681.
- Q1827325 subject Q8612008.
- Q1827325 abstract "In mathematics, Liouville's formula, also known as the Abel-Jacobi-Liouville Identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system. The formula is named after the French mathematician Joseph Liouville. Jacobi's formula provides another representation of the same mathematical relationship.Liouville's formula is a generalization of Abel's identity and can be used to prove it. Since Liouville's formula relates the different linearly independent solutions of the system of differential equations, it can help to find one solution from the other(s), see the example application below.".
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- Q1827325 wikiPageWikiLink Q7481094.
- Q1827325 wikiPageWikiLink Q8266681.
- Q1827325 wikiPageWikiLink Q8612008.
- Q1827325 comment "In mathematics, Liouville's formula, also known as the Abel-Jacobi-Liouville Identity, is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system. The formula is named after the French mathematician Joseph Liouville.".
- Q1827325 label "Liouville's formula".