Download PTU B-Tech EEE 2020 Dec 1st Sem 70970 Engineering Math Iii Question Paper

Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) (EEE)- Electrical And Electronics Engineering 2020 December 1st Sem 70970 Engineering Math Iii Previous Question Paper

Roll No.
Total No. of Pages : 02
Total No. of Questions : 08
B.Tech. (EE) PT (Sem.?1)
ENGINEERING MATH-III
Subject Code : BTAM-301
M.Code : 70970
Time : 2 Hrs. Max. Marks : 30
INST RUCT IONS T O CANDIDAT ES :
1 .
Attempt any FIVE question (s), ea ch que stion ca rrie s 6 ma rks .
2
d
1.
Use the concept of residues to evaluate
.
5 3cos 2
0
2.
Find a Fourier series to represent, x ? x2 from x = ? to x =. Hence, show that
2
1
1
1
1
......
.
2
2
2
2
1
2
3
4
12
1
3.
Find
1
L
log 1
,
where L?1 denotes inverse Laplace transform.
2
s
cos x sin
y
x e
4.
If f(z) = u + iv is an analytic function of z = x + iy and u ? v =
, find the
2cos
y
y
x e e
analytic function f(z), given f
0.
2
5.
Solve the equation by method of separation of variables.
u
u
y
5
4
3u given u 3
y
e
e
when x 0.
x
y
6.
Using the recurrence relation (n + 1)Pn + 1(x) = (2n + 1) xPn(x) ? nPn?1(x). Hence, evaluate
P2(1.5) and P3(2.1).
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7.
A tightly stretched string has its ends fixed at x = 0 and x = l. At time t = 0 the string is
given a shape defined by f(x) = x (l ? x), where is constant and then released. Find the
displacement of any point x of the string at any time t > 0.
8.
Find the power series solution about the origin of the equation :
2
1 x y 4xy 2y 0.
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