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June 17th, 2014, 03:59 PM
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GTU Biomedical Engineering, Mathematics-3 Exam paper
Give me question paper for Gujarat Technological University, Biomedical Engineering, Mathematics-3 Examination ? Here I am giving you question paper for Gujarat Technological University, Biomedical Engineering, Mathematics-3 Examination in PDF file attached with it . Q.1 Do as directed. a) Solve : y y y x + = ′ 2 b) Find a second order homogeneous linear differential equation for which the functions 2 x , 2 x x log are solutions. c) Find the convolution of t and t e . Q.2 (a) Using the method of variation of parameters find the general solution of the differential equation ( ) x e x y D D 2 3 2 3 1 2 = + − . 05 (b) Attempt all. 1) Solve the initial value problem ( ) 2 3 1 1 + = + − ′ − x y x y , ( ) 1 1 − = e y . 2) Find the orthogonal trajectories of the curve c x y + = 2 . 3) Find a basis of solution for the differential equation , 0 2 = + ′ − ′ y y x y x if one of its solutions is x y = 1 . (b) Find the Fourier cosine series of the periodic function ( ) ( ) L p L x x x f 2 , 0 ; = < < = . Also sketch ( ) x f and its periodic extension. Last edited by Neelurk; February 14th, 2020 at 11:32 AM. |
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