23. -(-Cnd)→e -evd dz

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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In-Class Exercises and Problems for Section 3.6
219
For Problems 17–38, test each argument for validity. If valid, construct a
formal proof. If not, produce a counterexample chart.
17. av(c→- p)
18. (~SAp)vb
-a→(-pvc)
(mv p)→s
- pva
b.
19. -ns
20. rv p
(nvb)→w
r (gvc)
- wV-q
(cv p)k
-qvs
-gk
22. -bvn
21. (q → p) s
~ svk
(p b)→-a
-kvr
-pr
cvn
24. pvh
(kv m)→-w
-hv (ka w)
23. ~(-Cnd)→e
-evd
dz
25. (a→h) vm
26
(p m)→-a
- (cv ~ d)→~q
-h→-m
d→- p
27. cvd
S(Iar)
28. ~ (d→1)
d (bv s)
s(mA~c)
(dn-1)s
Transcribed Image Text:In-Class Exercises and Problems for Section 3.6 219 For Problems 17–38, test each argument for validity. If valid, construct a formal proof. If not, produce a counterexample chart. 17. av(c→- p) 18. (~SAp)vb -a→(-pvc) (mv p)→s - pva b. 19. -ns 20. rv p (nvb)→w r (gvc) - wV-q (cv p)k -qvs -gk 22. -bvn 21. (q → p) s ~ svk (p b)→-a -kvr -pr cvn 24. pvh (kv m)→-w -hv (ka w) 23. ~(-Cnd)→e -evd dz 25. (a→h) vm 26 (p m)→-a - (cv ~ d)→~q -h→-m d→- p 27. cvd S(Iar) 28. ~ (d→1) d (bv s) s(mA~c) (dn-1)s
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