**MA8353 Important Questions Transforms and Partial Differential Equations**

MA8353 Important Questions Transforms and Partial Differential Equations Regulation 2017 Anna University free download. Transforms and Partial Differential Equations Important Questions MA8353 pdf free download.

**Sample MA8353 Important Questions Transforms and Partial Differential Equations:**

1.State Dirichlet’s conditions.

Solution: Any function f x can be develop as Fourier series a n x b n x a

where

n n a ,a , b 0 are constants, Provided it satisfies the following Dirichlet’s condition.

(a) f x is Periodic ,single valued & finite

(b) f x has a finite number of finite discontinuities in any one period & number infinite discontinuity.

(c) f x has at the most a finite number of maxima & minima

2.State tan x whether can be expanded as a Fourier series .It so how? If not why?

Solution: tan x cannot be expanded as a Fourier Series .Since doesn’t satisfy Dirichlet’s conditions.( tan x

has infinite number of infinite discontinuities)

MA8353 Important Questions Transforms and Partial Differential Equations

3.Find the constant term in the expansion of 2 x cos as a Fourier series in the interval ( , ) Solution: W.K.T2

1 cos2 cos2 x x

4. Find the Root Mean Square value of a function f x over the interval (a, b)

Solution: The root mean square of f x over the interval is defined as R.M.S =

b af x dx ba MA8353 Important Questions Transforms and Partial Differential Equations

5.Find the Root Mean Square value of f (x) x , 0 x l 2

Solution: The root mean square of f x over the interval is defined as R.M.S =

6.Give the expression for the F.S co-efficient n b for the function f (x) defined in (-2,2)

8. What is meant by Harmonic Analysis.

Solution: The process of finding the F.S for a function given by numerical value is known as harmonic

analysis. In the harmonic analysis the Fourier coefficients a , an &bn MA8353 Important Questions Transforms and Partial Differential Equations

Subject name | Transforms and Partial Differential Equations |

Semester | 3 |

Subject Code | MA8353 |

Regulation | 2017 regulation |

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