f(t) , 2π Let the periodic function be given   f(t) = t, 0 ≤ t ≤ π/2   (π − t), π/2 ≤ t ≤ π .   a) Find the Fourier series for the case where f is even.   b) Find the Fourier series for the case where f is odd.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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f(t) , 2π Let the periodic function be given

 

f(t) = t, 0 ≤ t ≤ π/2

 

(π − t), π/2 ≤ t ≤ π .

 

a) Find the Fourier series for the case where f is even.

 

b) Find the Fourier series for the case where f is odd. 

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