(4) (a) Prove that the sum of an even natural number and an odd nat- ural number is always odd. (b) Prove that if x is a natural number and y is an even natural number, then xy is even.
(4) (a) Prove that the sum of an even natural number and an odd nat- ural number is always odd. (b) Prove that if x is a natural number and y is an even natural number, then xy is even.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:(4) (a) Prove that the sum of an even natural number and an odd nat-
ural number is always odd.
(b)
Prove that if x is a natural number and y is an even natural
number, then xy is even.
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