Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter L, Problem 34ES
To determine
To graph: The sketch of the inequality
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What is a solution to a differential equation? We said that a differential equation is an equation that
describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential
equation, we mean simply a function that satisfies this description.
2. Here is a differential equation which describes an unknown position function s(t):
ds
dt
318
4t+1,
ds
(a) To check that s(t) = 2t2 + t is a solution to this differential equation, calculate
you really do get 4t +1.
and check that
dt'
(b) Is s(t) = 2t2 +++ 4 also a solution to this differential equation?
(c) Is s(t)=2t2 + 3t also a solution to this differential equation?
ds
1
dt
(d) To find all possible solutions, start with the differential equation = 4t + 1, then move dt to the
right side of the equation by multiplying, and then integrate both sides. What do you get?
(e) Does this differential equation have a unique solution, or an infinite family of solutions?
Chapter L Solutions
Developmental Mathematics (9th Edition)
Ch. L - Solve by graphing: x2+2x30.Ch. L - Prob. 2DECh. L - Prob. 3DECh. L - Prob. 4DECh. L - Prob. 5DECh. L - Prob. 6DECh. L - Prob. 7DECh. L - Prob. 8DECh. L - Prob. 1ESCh. L - Prob. 2ES
Ch. L - Prob. 3ESCh. L - Prob. 4ESCh. L - Prob. 5ESCh. L - Prob. 6ESCh. L - a
Solve.
7.
Ch. L - Prob. 8ESCh. L - Prob. 9ESCh. L - Prob. 10ESCh. L - Prob. 11ESCh. L - Prob. 12ESCh. L - Prob. 13ESCh. L - Prob. 14ESCh. L - Prob. 15ESCh. L - Prob. 16ESCh. L - Prob. 17ESCh. L - Prob. 18ESCh. L - Prob. 19ESCh. L - Prob. 20ESCh. L - Prob. 21ESCh. L - Prob. 22ESCh. L - Prob. 23ESCh. L - Prob. 24ESCh. L - Prob. 25ESCh. L - Prob. 26ESCh. L - Prob. 27ESCh. L - Prob. 28ESCh. L - Prob. 29ESCh. L - Prob. 30ESCh. L - Prob. 31ESCh. L - b
Graph.
32.
Ch. L - Prob. 33ESCh. L - Prob. 34ES
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