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particular solution

[pərˈtɪkjələr səˈluːʃən]
nounpl: particular solutions
solução particular
1. In mathematics, a solution to a differential equation or system of equations that satisfies specific initial or boundary conditions, as opposed to the general solution
The particular solution to the differential equation y' = 2x with the initial condition y(0) = 1 is y = x² + 1.
A solução particular da equação diferencial y' = 2x com a condição inicial y(0) = 1 é y = x² + 1.
2. Any specific instance or example that satisfies the conditions of a problem or equation
We found a particular solution by substituting the boundary conditions into the general equation.
Encontramos uma solução particular substituindo as condições de contorno na equação geral.
Synonyms
specific solutionindividual solution
Antonyms
general solutionhomogeneous solution

Regional Variations

General Brazilian
solução particular
Standard usage in mathematical contexts
Portugal
solução particular
Standard usage in mathematical contexts
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