1) Prove the following Logical Equivalences involving Conditional Statements. a) p-g--pvg b) ---- c) pvg--p-9 d) pag-p e) (pg)-pre Đ) (pg)^(p-1)=(e^r) e) (p+7)^(→7) ▪ (pvg) →r

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Prove the following Logical Equivalences involving Conditional Statements.
a) p-g-pvq
b) Vas
c) pvg--p-9
d) p^q=pg)
e) (pg) pe
Đ)
(pg)^(pr)=p→(q^r)
e) (p+r)^(@→7) ▪(pvg) →r
h) (pg)v (pr)p(qv)
1) (p+r)v (@➡r) ▪(p^q) →r
Transcribed Image Text:1) Prove the following Logical Equivalences involving Conditional Statements. a) p-g-pvq b) Vas c) pvg--p-9 d) p^q=pg) e) (pg) pe Đ) (pg)^(pr)=p→(q^r) e) (p+r)^(@→7) ▪(pvg) →r h) (pg)v (pr)p(qv) 1) (p+r)v (@➡r) ▪(p^q) →r
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