Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms

Exercise

Fourier Sine & Cosine Transforms

Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms: Exercise

EXERCISE 4.1 [Fourier integral theorem]

 

1. Using Fourier integral representation, show that



3. Solve for f (x) from the integral equation



 

EXERCISE 4.2 [Fourier Transform]

I. Find the Fourier transform of the function.


 

EXERCISE 4.3 [FCT and FST]

1. Find the Fourier cosine transform of e-4x Deduce that



Transforms And Partial Differential Equations: UNIT IV: Fourier Transforms : Tag: : Fourier Sine & Cosine Transforms - Exercise