Transforms And Partial Differential Equations: UNIT II: Fourier Series

Exercise

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

EXERCISE 2.2.(b)

Problems under the interval (-l, l)

1. Obtain the F.S. for f (x) defined in (-1, 1) by


2. Find the F.S. for the function


3. f(x) is defined in (-2, 2) as follows. Express f (x) in a F.S. of periodicity



5. Find F.S. of periodicity 2 for


6.  Expand f (x) =x-x as a F.S. in -1 <x< 1.


7. Obtain the F.S. to represent x2 from x = -1 to x = 1


8. Find the F.S. of period 2 for the function



11. Obtain the Fourier series of period 21 for the function


12. Find the Fourier Series of the following function


13. Find the Fourier series expansion of f (x) in (-2, 2) which is defined as follows.



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


Transforms And Partial Differential Equations: UNIT II: Fourier Series



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