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Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Question
Chapter 14.1, Problem 3E
To determine
The steady state temperature in the circular plate with the boundary condition as
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In Problems 1 through 6, express the solution of the given ini-
tial value problem as a sum of two oscillations as in Eq. (8).
Throughout, primes denote derivatives with respect to time t.
In Problems 1–4, graph the solution function x(t) in such a
way that you can identify and label (as in Fig. 3.6.2) its pe-
riod.
4. x" + 25x = 90 cos 41; x (0) = 0, x'(0) = 90
2. Solve for y in terms of x for the following equations:
a) In(1- 2y) = x
%3D
b) In(y - 1) - In 2 = x + In x
c) In(y? - 1) – In(y + 1) = In(sin x)
d) e(In 2)y
1/2
In Problems 1 through 6, express the solution of the given ini-
tial value problem as a sum of two oscillations as in Eq. (8).
Throughout, primes denote derivatives with respect to time t.
In Problems 1–4, graph the solution function x(t) in such a
way that you can identify and label (as in Fig. 3.6.2) its pe-
riod.
3. x" + 100x = 225 cos 5t + 300 sin 5t; x(0) = 375, x'(0) = 0
Chapter 14 Solutions
Advanced Engineering Mathematics
Ch. 14.1 - Prob. 1ECh. 14.1 - Prob. 2ECh. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11E
Ch. 14.1 - Prob. 12ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 18ECh. 14.3 - Prob. 1ECh. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 7CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Prob. 12CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 19CRCh. 14 - Prob. 22CRCh. 14 - Prob. 24CR
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