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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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O Prove or dis prove :If ab+c) then either alb or alc
O Prove tha t for
any integer a, one
of the intgers
91972
at4
divis ble
by 3.
For an
abitrary integer ai establis that
2 ala t1) while
31 a (at1) (at2)
Prove that 4t ca?+2) for any integer a
Prove albi7 and only if aclbc where c o
6) show that ifa is Gn integer
SUch that
and 3 a then
24 (a-1)
2X a
Show that if
and b.are integers
with Caib) = 1 then (atb a-b) =lor 2
(3 sho w that
if
and b are integers
that are not both zero,and c is anon zero
int eger, then (ca, cb) -Icl Caib)
Transcribed Image Text:O Prove or dis prove :If ab+c) then either alb or alc O Prove tha t for any integer a, one of the intgers 91972 at4 divis ble by 3. For an abitrary integer ai establis that 2 ala t1) while 31 a (at1) (at2) Prove that 4t ca?+2) for any integer a Prove albi7 and only if aclbc where c o 6) show that ifa is Gn integer SUch that and 3 a then 24 (a-1) 2X a Show that if and b.are integers with Caib) = 1 then (atb a-b) =lor 2 (3 sho w that if and b are integers that are not both zero,and c is anon zero int eger, then (ca, cb) -Icl Caib)
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