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单词 particular solution
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particular solution
particular solution n. Mathematics = particular integral n. (a).
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1736 J. Colson tr. I. Newton Method of Fluxions 25 (heading) A particular solution.
1738 Philos. Trans. 1735–6 (Royal Soc.) 39 325 In the Author's second Problem, or the Relation of the Fluxions being given to determine the Relation of the Fluents,..he [sc. Newton] begins with a particular Solution of it. He calls this Solution particular, because it extends only to such Cases, wherein the given Fluxional Equation either has been, or might have been, derived from some previous finite Algebraical Equation.
1848 Philos. Trans. (Royal Soc.) 138 40 The original equation is not altered by writing −b for b + 1; so that a particular solution may be readily deduced from the simple form.
1958 G. E. H. Reuter Elem. Differential Equations & Operators i. 5 General solution = particular solution plus complementary function.
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