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separation of variables

noun, Mathematics
1.
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.
2.
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.
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Based on the Random House Dictionary, © Random House, Inc. 2015.
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