Previous years question papers, Exams of Network Analysis

Download Previous years question papers and more Exams Network Analysis in PDF only on Docsity!

VISVESVARAYA NATIONAL INSTITUTE OF TECHNOLOGY, NAGPUR DEPARTMENT OF MATHEMATICS Sessional-II Examination (October, 2022) Max. Marks: 15 Duration: 1 hour (5x3 =15 Marks) III Semester, B.Tech. (MEC, EE Subject: Integral Transforms and Partial Differential Equations-MAL201 Note: any five of the following questions. Eich question carry equal weightage. i y 2 1, Find the the frequency spectrum of the function f(z) = | and also plot it. afte . Find Fourier integral of the function f(x) “10, (CO-2) your answer, What is the value of this integral? Justif F(A), exists. Then, for any constants Ag and is Node oO =X). (CO-2) Fourier tr 3. Let f bea function defined on ® such tha fy, Show that the Fourier transform of the function g(t) = « yeconstant. (CO-2) 4. Find Fourier cosine transform of the function f(z) 0, where esa po: 5. Solve the differential equations y’ — 4y = d(t—3), —oo << os, (CO-2) Fut, ishyperbolic, aGttatiOn +. Hix jo equation ss, Uyy = 6. (a) Find the region(s) of 2? in which the partial diff parabolic or elliptic? (b) Find the D Alembert solution of the u(z,0) = e7, (2,0) = cos2z,-co Owith {CO-3)