4. Find the solution of the vibrating string problem ᎧᎳ ᎧᎳ + əx² dy² with the boundary conditions W (0, y) = W (1, y) = 0, ᎧᎳ 1 ㅠ = cos(- 2πx) - 3 sin(5x), ду W(x,0)= = 0, 0≤x≤1, 0≤ y ≤ 1, 3π -(x,0) = cos(- +3πx). 2 Trigonometric formula cos(A + B) = cos A cos B - sin A sin B.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 38CR
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4. Find the solution of the vibrating string problem
0²W ᎧᎳ
+
əx² dy²
with the boundary conditions W (0, y) = W(1, y) = 0,
1
ᎧᎳ
=cc
2
ду
W(x, 0)
=
= 0,
0≤x≤1, 0≤ y ≤ 1,
ㅠ
cos( 2πx) - 3 sin(5x),
2
Trigonometric formula cos(A + B) = cos A cos B
3π
-(x,0) = = cos(- +3πx).
2
sin Asin B.
Transcribed Image Text:4. Find the solution of the vibrating string problem 0²W ᎧᎳ + əx² dy² with the boundary conditions W (0, y) = W(1, y) = 0, 1 ᎧᎳ =cc 2 ду W(x, 0) = = 0, 0≤x≤1, 0≤ y ≤ 1, ㅠ cos( 2πx) - 3 sin(5x), 2 Trigonometric formula cos(A + B) = cos A cos B 3π -(x,0) = = cos(- +3πx). 2 sin Asin B.
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ISBN:
9780321964038
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