Fundamentals of Differential Equations (9th Edition)
9th Edition
ISBN: 9780321977069
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Publisher: PEARSON
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1.
2.
Show that the following are not logically equivalent by finding a counterexample:
(p^q) →r and
(db) V (d←d)
Show that the following is not a contradiction by finding a counterexample:
(pV-q) AqA (pv¬q Vr)
3.
Here is a purported proof that (pq) ^ (q → p) = F:
(db) v (bd) = (db) v (bd)
=(qVp) A (g→p)
= (¬¬q V ¬p) ^ (q→ p)
(db) V (db) =
=¬(a→p)^(a→p)
= (gp) ^¬(a → p)
=F
(a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex-
ample.
(b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps
with their corresponding laws of propositional logic.
5
Show by multiplying matrices that the following equation represents an ellipse:
5
-
-7
I
(x)(3)()=30.
y)
7
7)
Chapter 7 Solutions
Fundamentals of Differential Equations (9th Edition)
Ch. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.4 - In Problems 110, determine the inverse Laplace...Ch. 7.4 - Prob. 3ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 9E
Ch. 7.4 - Prob. 11ECh. 7.4 - Prob. 13ECh. 7.4 - In Problems 1120, determine the partial fraction...Ch. 7.4 - Prob. 17ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 25ECh. 7.5 - Prob. 1ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 35ECh. 7.6 - In Problems 14, sketch the graph of the given...Ch. 7.6 - Prob. 3ECh. 7.6 - In Problems 510, express the given function using...Ch. 7.6 - Prob. 7ECh. 7.6 - Prob. 11ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 19ECh. 7.8 - Prob. 1ECh. 7.8 - Prob. 3ECh. 7.8 - Prob. 5ECh. 7.8 - Prob. 23ECh. 7.10 - In Problems 119, use the method of Laplace...Ch. 7.10 - Prob. 3ECh. 7.10 - Prob. 5ECh. 7.10 - Prob. 7ECh. 7.10 - Prob. 9ECh. 7.10 - Prob. 11ECh. 7.10 - Prob. 13ECh. 7.10 - Prob. 15ECh. 7.10 - Prob. 17ECh. 7.10 - Prob. 19E
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