Materials Science and Engineering: An Introduction, 10e WileyPLUS + Abridged Loose-leaf
10th Edition
ISBN: 9781119472070
Author: William D. Callister Jr., David G. Rethwisch
Publisher: Wiley (WileyPLUS Products)
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Chapter 5, Problem 26QAP
To determine
The temperature for diffusion.
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(a) Find a second-order homogeneous linear ODE for which the given functions are
solutions. (b) Show linear independence by the Wronskian. (c) Solve the initial value
problem.
a. cos(5x), sin(5x), y(0) = 3, y'(0) = −5
b. e-2.5x cos(0.3x), e-2.5x sin(0.3x), y(0) = 3, y'(0) = -7.5
5. In the figure, v(t) = m(t)ej2nfct where the message signal is m(t): = Acos (2πfmt) and the carrier signal is
vc(t) = 2e−j(2nfct+0) where 0 is constant and 0 < fm
Solve the IVP.
a. y" 16y 17e* ;
=
y(0) = 6,
y'(0) = -2
b. (D² + 41)y = sin(t) + ½ sin(3t) + sin(t) ; y(0) = 0, y'(0) :
=
35
31
Chapter 5 Solutions
Materials Science and Engineering: An Introduction, 10e WileyPLUS + Abridged Loose-leaf
Ch. 5 - Prob. 1QAPCh. 5 - Prob. 2QAPCh. 5 - Prob. 3QAPCh. 5 - Prob. 4QAPCh. 5 - Prob. 5QAPCh. 5 - Prob. 6QAPCh. 5 - Prob. 7QAPCh. 5 - Prob. 8QAPCh. 5 - Prob. 10QAPCh. 5 - Prob. 12QAP
Ch. 5 - Prob. 13QAPCh. 5 - Prob. 14QAPCh. 5 - Prob. 15QAPCh. 5 - Prob. 17QAPCh. 5 - Prob. 18QAPCh. 5 - Prob. 19QAPCh. 5 - Prob. 20QAPCh. 5 - Prob. 21QAPCh. 5 - Prob. 24QAPCh. 5 - Prob. 26QAPCh. 5 - Prob. 27QAPCh. 5 - Prob. 31QAPCh. 5 - Prob. 32QAPCh. 5 - Prob. 34QAPCh. 5 - Prob. 35QAPCh. 5 - Prob. 1DPCh. 5 - Prob. 2DPCh. 5 - Prob. 3DPCh. 5 - Prob. 4DPCh. 5 - Prob. 1SSPCh. 5 - Prob. 2SSPCh. 5 - Prob. 3SSPCh. 5 - Prob. 4SSPCh. 5 - Prob. 1FEQPCh. 5 - Prob. 2FEQP
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