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In mathematics, separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation. == Ordinary differential equations (ODE) == Suppose a differential equation can be written in the form : which we can write more simply by letting : : As long as ''h''(''y'') ≠ 0, we can rearrange terms to obtain: : so that the two variables ''x'' and ''y'' have been separated. ''dx'' (and ''dy'') can be viewed, at a simple level, as just a convenient notation, which provides a handy mnemonic aid for assisting with manipulations. A formal definition of ''dx'' as a differential (infinitesimal) is somewhat advanced. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「separation of variables」の詳細全文を読む スポンサード リンク
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