1. Let o(n) = Edn d. Example: For primes p, q, o(p) = p + 1. o(pq) = pq+ p+q+1. Show that%3|o(n) = n=u|p2. Note that Ean < Edsn- Show thata(n)< (In n) + 1.

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Answered: 1. Let o(n) = Edn d. Example: For…

1. Let o(n) = Edn d. Example: For primes p, q, a(p) = p+ 1. a(pq) = pq+ p+q+ 1. Show that o(n) = n d' ulp 2. Note that Cdn s Eagn . Show that a(n) < (In n) + 1.

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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Question

1. Let o(n) = Edn d. Example: For primes p, q, o(p) = p + 1. o(pq) = pq+ p+q+1. Show that
%3|
o(n) = n=
u|p
2. Note that Ean < Edsn- Show that
a(n)
< (In n) + 1.

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