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June 20th, 2014, 01:11 PM
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Past year question papers of Sathyabama University B.E/B.Tech-IIIrd Semester Engineer

Can you please give me the past year question papers of Sathyabama University B.E/B.Tech-IIIrd Semester Engineering Mathematics-III (6C0032)?

As you want to get the past year question papers of Sathyabama University B.E/B.Tech-IIIrd Semester Engineering Mathematics-III (6C0032) so here is the information of the same for you:

Some content of the file has been given here:

1. Write the formula for finding Euler’s constants of a Fourier series
in (0, 2p).
2. What is the value of a constant in one dimensional wave
equation?
3. Write the boundary conditions for the following: A rod of length
“L” cm has its ends A and B, kept at 0oc. If initially its
temperature is given by u = cx(L – x)/L2. Find the temperature
distribution in the rod.
4. Find L [cosh2t + (2 / p )]
5. In the Fourier series expansion of f(x) =|cosx| in (–p, p), what is the
value of an?
6. By eliminating the arbitrary constants, form the partial
differential equation from (x–a)2 + y2 + (z – c)2 = 1.
7. Find the complementary function of the partial differential
equation (D2 – 7DD + 12D 2)z = 0.
8. State convolution theorem in Fourier Transform.
9. Solve (D2 - 4DD’)z = 0.
10. What is the inversion formula for Fourier cosine transform?
PART – B (5 x 12 = 60)
Answer ALL the Questions
11. (a) Find the Laplace transform of f(t) = |sin wt|, f(t+p/w) = f(t).
(b) Find L-1[s2 /((s2 +4)2))] ,using convolution theorem.
(or)
12. (a) Solve y – 4y + 8y = e2t, y(0) = 2 and y(0) = –2
(b) Find the Laplace transform of f(t) = t2e–3t cos2t
13. (a)Find the Fourier series of f(x)= |cosx| in (–p , p)
(b)Find the Fourier cosine series of f(x) = x(p – x) in (0, p) Hence
find the sum of (1/n4)
(or)
14. (a) Find the complex form of Fourier series of f(x) = e-ax in (–L,L)
(b) Find the Fourier series of f(x) = x
2 – x in (–p, p). Hence find
the sum of (1/n4), assuming that (1/n2) = p
2/6
15. (a)Solve (D2 – 2DD + D 2)z = x
2y2ex+y.
(b) Solve px1/2 + qy1/2 = z1/2
(or)
16. (a) Solve (D2 + 4DD – 5D 2)z = xy + Sin(2 x+ 3y)
(b) Solve pcotx + qcoty = cotz
17. If a string of length ‘L’ is initially in the form y = Lx – x
2 at time t
= 0. Motion is started by displacing the string from this Position.
Find the displacement at any point x and at any subsequent time.
(or)
e–ax
x
f(x) =
18. A square plate is bounded by the lines x = 0, y = 0, and x = 20, y
= 20 and its faces are insulated. The temperature along the upper
horizontal edge is given by u(x, 20) = x(20 – x) for 0 < x < 20,
while the other three edges are maintained at 0oc. Find the steady
state temperature distribution in the plate.
19. (a) Find the Fourier Transform of
x , |x|<a
0 , |x|>a
(b) Find the Fourier Transform of exp(–a2
x
2),a > 0. For what value
of ‘a’, the given function is self reciprocal and hence show that
F(exp(–x
2/2)) = exp(–s2/2).
(or)
20. (a) Find the Fourier sine transform of f(x) = e-ax, a>0.
¥
Hence deduce that [cos sx/(a2 + s2)] ds = (p/2a)e-ax
0
(b) Find the Fourier sine Transform of f(x) = , a > 0







For more detailed information I am uploading PDF files which are free to download:


Contact Details:
Sathyabama University
Rajiv Gandhi Road,
Jeppiaar Nagar,
Sholinganallur,
Chennai,
Tamil Nadu 600119 ‎
044 2450 3150
India

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Last edited by Neelurk; February 6th, 2020 at 02:51 PM.
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