Have you ever been curious about why the number e is so popular in math? Euler’s number, which is an infinitely long decimal, close to 2.71828, pops up naturally in a surprisingly broad range of ...
\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...
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A system of linear ordinary differential equations with exponential coefficients is considered; several theorems are presented concerning general solutions and their asymptotic forms for large values ...
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