CS/B.TECH (New)/SEM-2/M-201/2012
2012
MATHEMATICS-II
Time Allotted : 3 Hours Full Marks : 70
The figures in the margin indicate full marks.
Candidates are required to give their answers in their own words
as far as practicable.
GROUP – A
(Multiple Choice Type Question)
1. Choose the correct alternatives for any ten of the following: 10 x 1 = 10
i) The integrating factor of
(2xy-3y^3) dx+(4x^2+6xy^2) dy=0 is
a) (x^2)y b) (x^2)(y^2)
c) x(y^2) d) x(y^3)
ii) The substitution x=ez transforms the differential equation
(x^2)(d2y/dx2)-5y=loge(x) to
a) d2y/dz2+dy/dz-5y=z b) d2y/dz2-dy/dz+5y=z
c) d2y/dz2-dy/dz+3y=0 d) d2y/dz2-dy/dz-5y=z .
iii) If the differential equation
(y+1/x+1/(x^2)y) dx+(x-1/y+A/x(y^2)) dy=0
is exact, then the value of A is
a) 2 b) 1
c) -1 d) 0 .
