Anna university TPDE Model Question Paper

My brother needs Anna University Transform and Partial Differential Equations exam model question paper, so will you please provide here Anna Univ TPDE model paper???

[Kiran Chandar]

As you need Anna University Transform and Partial Differential Equations exam model question paper, here I am giving:

1. Find the Fourier constants for in .

2. What you mean by Harmonic Analysis?
3. Write the Fourier transforms pair.

4. If F(s) is the Fourier transform of then

5. Form a partial differential equation by eliminating the arbitrary function from

6. Find the root mean square value of in the interval .
7. If the Fourier series for the function is

8. State the convolution theorem of the Fourier transform(AU 2003,07,09)
9. If F(s) is the Fourier transform of then prove that
10 Find the singular solution of the partial differential equation
11. In wave equation what does a2 stands for?
12 Solve:
13. Classify the equation
14 Form the difference equation from
15 Find the value of when
16. Find the complete integral of
17. A rod 30 cm long has its ends A and B kept at 200C and 800C respectively until steady state conditions prevail. Find the steady state temperature in the rod.
18. Find the z-transform of n.
19. Form the difference equation from
20. What are the possible solutions of one dimensional wave equation?



16 marks


11. Find the Fourier series for in the interval .
12 Find the Fourier series for . Hence deduce the sum to infinity of the series
(or)
13 Show that for 0 < x < l, . Deduce that
14 Find the Fourier series as far as the second harmonic to represent the function given in the following data.
x 0 1 2 3 4 5

9 18 24 28 26 20

15 Find the Fourier transform of f(x) if
Hence deduce that (i) (ii)

16 Find the Fourier sine transform of
(or)
17 State and prove convolution theorem for Fourier transforms.
18 Find the Fourier transform of and hence deduce that
19 Solve
20 Solve:
Form a partial differential equation by eliminating arbitrary functions from

For detailed paper, here is attachment: