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-4 m 1.0 1,0 0 Let f(x) = {º (3 - x) • - - -3 for 0 < x < 1, for 1 < x < 3. Compute the Fourier sine coefficients for f(x). • Bn f(x) U= Sav -(3-x) -3+x T 12x23 ((x) sin (^x) 2 L 2 3 9 -3+x (nxx) dx 3 -3+ du 1 sin (n^x) dx 3 3 cos пли nax 3 3 1 3 -3+x 1-3 nax cos -(() nñ cos/n उ. 9 em или 1 -3 (-3+x) cos(x) + m² nax 495 3 + 9 Am 3 -3(-3+3). cos nñ3 ил 3 (-3) (-3+1) cos ил son (173) (nt) = a sin (n^) -(-3) (-2) cos/no 2 3 ил пл 3 cos (n/3) - Яз 9 n²² 3 sin/n g's Jain (no) 84²² 3 - 4 cos (27/3) - 6 sm nñ игра 3 -4n cos (n) -6 sin ил 1/3 пл Ans n²²

-4 m 1.0 1,0 0 Let f(x) = {º (3 - x) • - - -3 for 0 < x < 1, for 1 < x < 3. Compute the Fourier sine coefficients for f(x). • Bn f(x) U= Sav -(3-x) -3+x T 12x23 ((x) sin (^x) 2 L 2 3 9 -3+x (nxx) dx 3 -3+ du 1 sin (n^x) dx 3 3 cos пли nax 3 3 1 3 -3+x 1-3 nax cos -(() nñ cos/n उ. 9 em или 1 -3 (-3+x) cos(x) + m² nax 495 3 + 9 Am 3 -3(-3+3). cos nñ3 ил 3 (-3) (-3+1) cos ил son (173) (nt) = a sin (n^) -(-3) (-2) cos/no 2 3 ил пл 3 cos (n/3) - Яз 9 n²² 3 sin/n g's Jain (no) 84²² 3 - 4 cos (27/3) - 6 sm nñ игра 3 -4n cos (n) -6 sin ил 1/3 пл Ans n²²

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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Compute fourier sine coefficent Bn. 

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-4 m 1.0 1,0 0 Let f(x) = {º (3 - x) • - - -3 for 0 < x < 1, for 1 < x < 3. Compute the Fourier sine coefficients for f(x). • Bn
Transcribed Image Text:-4 m 1.0 1,0 0 Let f(x) = {º (3 - x) • - - -3 for 0 < x < 1, for 1 < x < 3. Compute the Fourier sine coefficients for f(x). • Bn
f(x) U= Sav -(3-x) -3+x T 12x23 ((x) sin (^x) 2 L 2 3 9 -3+x (nxx) dx 3 -3+ du 1 sin (n^x) dx 3 3 cos пли nax 3 3 1 3 -3+x 1-3 nax cos -(() nñ cos/n उ. 9 em или 1 -3 (-3+x) cos(x) + m² nax 495 3 + 9 Am 3 -3(-3+3). cos nñ3 ил 3 (-3) (-3+1) cos ил son (173) (nt) = a sin (n^) -(-3) (-2) cos/no 2 3 ил пл 3 cos (n/3) - Яз 9 n²² 3 sin/n g's Jain (no) 84²² 3 - 4 cos (27/3) - 6 sm nñ игра 3 -4n cos (n) -6 sin ил 1/3 пл Ans n²²
Transcribed Image Text:f(x) U= Sav -(3-x) -3+x T 12x23 ((x) sin (^x) 2 L 2 3 9 -3+x (nxx) dx 3 -3+ du 1 sin (n^x) dx 3 3 cos пли nax 3 3 1 3 -3+x 1-3 nax cos -(() nñ cos/n उ. 9 em или 1 -3 (-3+x) cos(x) + m² nax 495 3 + 9 Am 3 -3(-3+3). cos nñ3 ил 3 (-3) (-3+1) cos ил son (173) (nt) = a sin (n^) -(-3) (-2) cos/no 2 3 ил пл 3 cos (n/3) - Яз 9 n²² 3 sin/n g's Jain (no) 84²² 3 - 4 cos (27/3) - 6 sm nñ игра 3 -4n cos (n) -6 sin ил 1/3 пл Ans n²²
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