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.

Attached Files

	GTU Biomedical Engineering, Mathematics-3 Exam paper -1.pdf (48.8 KB, 84 views)
	GTU Biomedical Engineering, Mathematics-3 Exam paper-2.pdf (118.9 KB, 84 views)