7. Show that if n is odd, then p(4n) - 2 q(n). =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Calculate o of 10115 = 5. 7. 17² and 100115 = 5.20023.
4. Calculate o of 10116 2².32.281 and 100116 = 2² · 35 · 103.
*
=
5. Calculate a8 (mod 15) for a =
1, 2, 14.
6. Calculate a8 (mod 16) for a = 1, 2,
15.
7. Show that if n is odd, then q(4n) = 2 (n).
8. Perfect numbers satisfy o(n) = 2n. Which n satisfy q(n) = 2n?
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