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singular solution

[ˈsɪŋɡjələr səˈluːʃən]
nounpl: singular solutions
solução singular
1. In mathematics and differential equations, a solution to a differential equation that cannot be obtained from the general solution by any choice of the arbitrary constants
The differential equation y' = √|y| has a singular solution at y = 0
A equação diferencial y' = √|y| tem uma solução singular em y = 0
2. A solution that satisfies a differential equation but is not part of the family of solutions defined by the general solution formula
Finding singular solutions requires analyzing the envelope of the family of integral curves
Encontrar soluções singulares requer analisar a envolvente da família de curvas integrais
Synonyms
exceptional solutionenvelope solution
Antonyms
general solutionparticular solution

Regional Variations

General Brazilian
solução singular
Standard mathematical terminology used in Brazilian universities
Portugal
solução singular
Standard mathematical terminology used in Portuguese academia
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