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June 20th, 2014, 01:11 PM
 
 
Past year question papers of Sathyabama University B.E/B.TechIIIrd Semester Engineer
Can you please give me the past year question papers of Sathyabama University B.E/B.TechIIIrd Semester Engineering MathematicsIII (6C0032)? As you want to get the past year question papers of Sathyabama University B.E/B.TechIIIrd Semester Engineering MathematicsIII (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 L1[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) = eax 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) = eax, a>0. ¥ Hence deduce that [cos sx/(a2 + s2)] ds = (p/2a)eax 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 Map Location: Last edited by Neelurk; February 6th, 2020 at 02:51 PM. 
