integration factor

[ɪntɪˈɡreɪʃən ˈfæktər]
nounpl: integration factors
fator integrante
1. A mathematical function used to multiply both sides of a differential equation to make it exact and solvable
To solve this first-order differential equation, we need to find the appropriate integration factor.
Para resolver esta equação diferencial de primeira ordem, precisamos encontrar o fator integrante apropriado.
2. In mathematics, a multiplier that converts a non-exact differential equation into an exact one
The integration factor μ(x) = e^(∫P(x)dx) is commonly used in linear differential equations.
O fator integrante μ(x) = e^(∫P(x)dx) é comumente utilizado em equações diferenciais lineares.
This is specialized mathematical terminology used primarily in academic and scientific contexts. The term is standardized across Portuguese-speaking countries and English-speaking regions, making it consistent in academic literature. It is essential vocabulary for students studying differential equations in calculus and higher mathematics courses.
Synonyms / Sinônimos
integrating factormultipliermultiplying factor

Regional Variations

General Brazilian
fator integrante
Standard mathematical terminology used in Brazilian universities and textbooks
Portugal
fator integrante
Same terminology used in Portuguese mathematics education
USA/England
integration factor
Standard academic terminology in English-speaking institutions

Related Words

differential equationexact equationnon-exact equationfirst-order differential equationlinear differential equationsolution method
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