separation of variables
Americannoun
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a grouping of the terms of an ordinary differential equation so that associated with each differential is a factor consisting entirely of functions of the independent variable appearing in the differential.
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a process of finding a particular solution of a partial differential equation in the form of a product of factors that each involve only one of the variables.
Example Sentences
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This equation represents the separation of variables we want.
From Textbooks • Mar. 30, 2016
This equation can be solved using the method of separation of variables.
From Textbooks • Mar. 30, 2016
We can apply the process of separation of variables to solve this problem and similar problems involving solution concentrations.
From Textbooks • Mar. 30, 2016
The method of separation of variables is used to find the general solution to a separable differential equation.
From Textbooks • Mar. 30, 2016
The standard method of solving such a partial differential equation is by separation of variables, where we express the solution as the product of functions containing each variable separately.
From Textbooks • Mar. 30, 2016
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
