**Exercise 2.8**Find rules in the spirit of Proposition 2.1.9 for divisibility of an integer by 5, 9, and 11, and prove each of these rules using arithmetic modulo a suitable \( n \).

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Answered: 2.8 Find rules in the spirit of…

Advanced Engineering Mathematics

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Author:Erwin Kreyszig

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Chapter2: Second-order Linear Odes

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2.8 Find rules in the spirit of Proposition 2.1.9 for divisibility of an integer by 5, 9, and 11, and prove each of these rules using arithmetic modulo a suitable n.