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s09_mthsc208_hw21

# s09_mthsc208_hw21 - MTHSC 208(Dierential Equations Dr...

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MTHSC 208 (Differential Equations) Dr. Matthew Macauley HW 21 Due Friday April 10th, 2009 (1) Compute the complex Fourier series for the function defined on the interval [ - π, π ]: f ( x ) = - 1 , - π x < 0 , 4 , 0 x π. Use the c n ’s to find the coefficients of the real Fourier series (the a n ’s and b n ’s). (2) Find the real and complex Fourier series for the function defined on the interval [ - π, π ]: f ( x ) = 0 , - π x < 0 , 1 , 0 x π. Only compute one of these directly (your choice), and then use the formulas relating the real and complex coefficients to compute the other. (3) Compute the complex Fourier series for the function
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