= There do not exist integers x and y such that 15x + 1 There is no integer n such that n² + 1 is divisible by 4. 21y.
= There do not exist integers x and y such that 15x + 1 There is no integer n such that n² + 1 is divisible by 4. 21y.
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Prove the following statements by contradiction.
Theorem.
(a) There do not exist integers x and y such that 15x + 1 = 21y.
(b) There is no integer n such that n² + 1 is divisible by 4.
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