Lovely Professional University 2008 B.Tech Computer Science and Engineering CALCULUS-II page-2 - Question Paper

CALCULUS-II page-2

Ouestion-4.

(I)    Solve by method of Variations of parameters + y = tanx

(II)    Solve (1 + x)² + (1 + x) + y = sin[ 21og (1 + x)]

(2x!0-20Markii)

Question-5.

(I) Using Convolution theorem, evaluate L^-1 [27724)]

(D) Using transform method, solve y" 3y' + 2y = 1 e²*, y(0) = 1, y'(0) = 1

(2xl0-20Marks)

Question-6.

(I)    If /(*) = in the range 0 to 2rc, Show that f(x) = + Hni ~~r^m

_/Tr.    ,, .        25/nair r stnx Zsln2x , 3$in3x    1

(II)    Show that for - n < x < ir, sinax = j    + 3----j

(2xlO2()Marks)

Important Formulae

1.    sin(n - a)n = (l)ⁿ(stmur)

2.    sin(n + a) n = (l)ⁿ(s/na7r)

³- ^/-F]=r^ds

4.    Ll/ⁿ(0] = s"7(s) - iⁿ-¹/(0) - s"²/'(0)----/'^l(0)

5.    2sinA sinB = cos(i4 - B) - cos (4 + 5)

2

Attachment: lovely-professional-university-2008-b-tech-computer-science-and-engineering-3141-1.jpg

Earning:   Approval pending.