WBUT 2012: Mathematics-II (Paper Code: M-201) Question Paper

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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 .

 

 

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