B12. (a) Find the Fourier sine series of f(t) = t for 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve B12a
for real numbersS u alnu U JU
valid in the domain < 2
iz - 6
B11
(a) Find the scries of
(b) Use the method of residues, or otherwise to evaluate
-dz
z2 - 5iz -6
B12.
(a) Find the Fourier sine series of f(t) =t for 0 <t< T.
(b) Hence, solve the equation
d'y
+ 16y = f(t), y(0)
dy(0)
3D0,
dt
dt2
with f(t) as in (a) and f(t+ 2T) = f(t).
Transcribed Image Text:for real numbersS u alnu U JU valid in the domain < 2 iz - 6 B11 (a) Find the scries of (b) Use the method of residues, or otherwise to evaluate -dz z2 - 5iz -6 B12. (a) Find the Fourier sine series of f(t) =t for 0 <t< T. (b) Hence, solve the equation d'y + 16y = f(t), y(0) dy(0) 3D0, dt dt2 with f(t) as in (a) and f(t+ 2T) = f(t).
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