“Characteristic (Partial Differential Equation)”的概念、定义、习题解题方法及翻译-数学辞典

单词

Characteristic (Partial Differential Equation)

释义

Characteristic (Partial Differential Equation)

Paths in a 2-D plane used to transform Partial Differential Equations intosystems of Ordinary Differential Equations. They were invented by Riemann.For an example of the use of characteristics, consider the equation

Now let

. Since

it follows that

, and

. Integrating gives

, and

, where the constants of integration are 0 and

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