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6. (a) Given (x, y) write down expressions for expressions as far as possible. - 1 x³ - y² дф дф Əx' dy and 2²6 дуг 7 simplifying your

6. (a) Given (x, y) write down expressions for expressions as far as possible. - 1 x³ - y² дф дф Əx' dy and 2²6 дуг 7 simplifying your

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. (a) Given o(x, y) write down expressions for expressions as far as possible. = 1 x³ - y² ab дф 2²6 and Əx' ду dy²¹ Wk = (b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can be written kπ ev simplifying your T where is the length of the string, T the tension, and p the density. If the length and tension increase by 2% and 1% respectively what is the approximate change in the lowest natural frequency w₁?
Transcribed Image Text:6. (a) Given o(x, y) write down expressions for expressions as far as possible. = 1 x³ - y² ab дф 2²6 and Əx' ду dy²¹ Wk = (b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can be written kπ ev simplifying your T where is the length of the string, T the tension, and p the density. If the length and tension increase by 2% and 1% respectively what is the approximate change in the lowest natural frequency w₁?
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(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can be written Wk = kπ T l where is the length of the string, T the tension, and p the density. If the length and tension increase by 2% and 1% respectively what is the approximate change in the lowest natural frequency w₁?
Transcribed Image Text:(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can be written Wk = kπ T l where is the length of the string, T the tension, and p the density. If the length and tension increase by 2% and 1% respectively what is the approximate change in the lowest natural frequency w₁?
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