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separation of variables

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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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Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018