How to Solve Applied Mathematics Problems by Moiseiwitsch B. L.;

Author:Moiseiwitsch, B. L.;
Language: eng
Format: epub
Publisher: Dover Publications
Published: 2013-04-14T16:00:00+00:00

• Solution

The Fourier series is given by

where

Hence we have for the square wave

giving

We obtain a sine series because is an odd function about t = T/2.

9.07 Obtain the Fourier series for the function with period T given by

• Solution

Since f(t) is an even function with period T/2 we use the Fourier cosine series So we have

where

So we have

and so

Hence

9.08 Show that

• Solution

We use the exponential form of the Fourier series

where

Then, putting L = and f(x) = expx, we have

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