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Bases for Second Order Linear ODEs
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2020-10-20 , DOI: 10.1080/00029890.2020.1803626
Peter McGrath 1
Affiliation  

The usual analysis of the constant coefficient ODE ay″+by′+cy=0 —which concludes that ert is a solution when r=(−b±b2−4ac)/(2a) —fails to produce a basis for the solution space when b2−4ac=0 . Redu...

中文翻译:

二阶线性 ODE 的基数

常系数 ODE ay″+by′+cy=0 的通常分析——得出的结论是当 r=(−b±b2−4ac)/(2a) 时 ert 是一个解——未能为解空间产生一个基当 b2−4ac=0 时。减少...
更新日期:2020-10-20
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