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T 00 f(t) = + E an cos(nat/L) + b, sin(nat/L) (1) ÷TSt) cos(nat/L)dt, b =".S(t) sin(nat/L)dt (2) an and a, must be evaluated separately.

T 00 f(t) = + E an cos(nat/L) + b, sin(nat/L) (1) ÷TSt) cos(nat/L)dt, b =".S(t) sin(nat/L)dt (2) an and a, must be evaluated separately.

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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1. Fourier Series. f(t) *+E an cos(nat/L) + b, sin(nat/L) 2 (1) T=1 iL re) cos(nat/L)dt, =÷(, s() sin(nat/L)dt (2) An = and a, must be evaluated separately. 2. Fourier cosine series. n=00 a0 S(t) = +£ an cos(nat/L), S(4) cos(nat/L)dt (3) an = n=1 and ao must be evaluated separately. 3. Fourier sine series. f(t) = E b sin(nat/L), S) sin(nat/L)dt (4) b, = 4. Fourier series complex form. 1 T=00 f(t) = co + E Geinzt/L (5) n=-0,n#0 and co must be evaluated separately.
Transcribed Image Text:1. Fourier Series. f(t) *+E an cos(nat/L) + b, sin(nat/L) 2 (1) T=1 iL re) cos(nat/L)dt, =÷(, s() sin(nat/L)dt (2) An = and a, must be evaluated separately. 2. Fourier cosine series. n=00 a0 S(t) = +£ an cos(nat/L), S(4) cos(nat/L)dt (3) an = n=1 and ao must be evaluated separately. 3. Fourier sine series. f(t) = E b sin(nat/L), S) sin(nat/L)dt (4) b, = 4. Fourier series complex form. 1 T=00 f(t) = co + E Geinzt/L (5) n=-0,n#0 and co must be evaluated separately.
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