MA8353 Important 16 mark questions Transforms and Partial Differential Equations

MA8353 Important 16 mark questions Transforms and Partial Differential Equations Regulation 2017 Anna University free download. Transforms and Partial Differential Equations Important 16 mark questions MA8353 pdf free download.

Sample MA8353 Important 16 mark questions Transforms and Partial Differential Equations:

1. State Dirichlet’s conditions.
2. State the sufficient condition for a function f(x) to be expressed as a Fourier series. MA8353 Important 16 mark questions Transforms and Partial Differential Equations
3. State Euler’s formula for Fourier coefficient of a function defined in (c, c+2l ).
4. Determine bn in the Fourier series expansion of f(x) = ( )
5. Find the coefficient b 5 of cos 5x in the Fourier cosine series of the function f(x) =sin 5x in the interval (0, 2 ).
6. Find b n in the expansion of x 2 as a Fourier series in (- , ).
7. Find the Fourier constants b n for x sin x in (- , ). MA8353 Important 16 mark questions Transforms and Partial Differential Equations
8. Determine the value of a n in the Fourier series expansion of f(x) = x 3 in - <x< .
9. Obtain the first term of the Fourier series for the function f(x) = x 2 , - <x< .
10. Find the constant term in the expansion of cos 2 x as a Fourier series in the interval (- , ).
11. If f(x) = sin x, - <x< find a n .
12. Find 0 a in the expansion of x as a Fourier series in (0,2 ).
13. Given the expression for the Fourier series coefficient b n for the function f(x) defined in (-2, 2).
14. Find the value of a n in the cosine series expansion of f(x) =k in the interval (0, 10).
15. State Parseval’s identity for the half range cosine expansion of f(x) in (0, 10).
16. Find the root mean square value of the function f(x) in a<x<b.
17. If f(x) = 2x in the interval (0, 4) then find the value of a 2 in the Fourier series expansion.
18. To which value the half range sine series corresponding to f(x) = x2 expressed in the
interval (0, 5) converges at x =5? MA8353 Important 16 mark questions Transforms and Partial Differential Equations
19. State Parseval’s formula for f(x) defined in  l, l  .
20. State the half range Fourier cosine series for the function f(x) in the interval 0  x  2l . MA8353 Important 16 mark questions Transforms and Partial Differential Equations

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