Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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03: A uniform string of length (0.1m) is stretched between the points (0,0) and (0.1,0) is given the initial
velocity:
9(x) = {1
2x 0 < x < 0.05
- 2x
If the general equation for the vibration of such string is;
0.05 < x < 0.1
azy = 2 ay
3x²
8t²
And its solution by the separation of variables gives the equation;
y(x,t) = Σ
n=1
sin 10nx (A, cos(10cnnt) + B sin(10cnnt)}
Determine the expression for A, and Br
Numerical
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Transcribed Image Text:03: A uniform string of length (0.1m) is stretched between the points (0,0) and (0.1,0) is given the initial velocity: 9(x) = {1 2x 0 < x < 0.05 - 2x If the general equation for the vibration of such string is; 0.05 < x < 0.1 azy = 2 ay 3x² 8t² And its solution by the separation of variables gives the equation; y(x,t) = Σ n=1 sin 10nx (A, cos(10cnnt) + B sin(10cnnt)} Determine the expression for A, and Br Numerical
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