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separation of variables |
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separation of variables [‚sep·ə′rā·shən əv ′ver·ē·ə·bəlz] (mathematics) A technique where certain differential equations are rewritten in the form ƒ(x)dx=g(y)dywhich is then solvable by integrating both sides of the equation. A method of solving partial differential equations in which the solution is written in the form of a product of functions, each of which depends on only one of the independent variables; the equation is then arranged so that each of the terms involves only one of the variables and its corresponding function, and each of these terms is then set equal to a constant, resulting in ordinary differential equations. Also known as product-solution method. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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