Transforms And Partial Differential Equations: UNIT II: Fourier Series

Exercise

Transforms And Partial Differential Equations: UNIT II: Fourier Series: Exercise

EXERCISE 2.4

1. Find the complex form of the Fourier series of the periodic function f(x) = sinx, 0 < x <л.


2. Find the complex form of the Fourier series of f (x) = cos ax in -л <x<л, where a is not an integer.


3. Obtain the complex form of the Fourier series for


4. Find the complex form of the Fourier series of f (x) = sin ax where a is not an integer in - л <x<л.


5. Prove that the complex form of the Fourier series f(x) = cos zx in - л < x <л where a is not an integer, is given by


6. Find the complex form of Fourier series of


Transforms And Partial Differential Equations: UNIT II: Fourier Series : Tag: : - Exercise


Transforms And Partial Differential Equations: UNIT II: Fourier Series



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