Download PTU B.Tech 2020 March CSE-IT 2nd Sem BTAM 201 18 Mathematics Ii Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech CSE/IT (Computer Science And Engineering/ Information Technology) 2020 March 2nd Sem BTAM 201 18 Mathematics Ii Previous Question Paper

1 | M-76254 (S1)-2035

Roll No. Total No. of Pages : 02
Total No. of Questions : 18
B.Tech.(CSE)/(EE)/(ME)/(Civil Engg.) (2018 & Onwards) (Sem.?2)
MATHEMATICS-II
Subject Code : BTAM-201-18
M.Code : 76254
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION - B & C have FOUR questions each.
3. Attempt any FIVE questions from SECTION B & C carrying EIGHT marks each.
4. Select atleast TWO questions from SECTION - B & C.

SECTION-A
Answer briefly :
1) Is the differential equation e
x
(cos ydx ? sin ydy) = 0 exact?
2) Write the Laplace equation in cylindrical coordinates.
3) Write the 1-D diffusion equation.
4) Write the Euler?s equation.
5) Convert the equation ax
2
+ by
2
= 1 into differential equation.
6) Find the integrating factor, which makes the equation (5x
3
+ 12x
2
+ 6y
2
) dx + 6xydy = 0
exact.
7) Find the solution of the differential equation y ? ? ? ? 3y ? ? 2y = 0
8) Is xv
x
+ yv
y
= v
2
a non-linear PDE?
9) Check if the PDE 2r ? s ? t ? p + q = 0, is parabolic, elliptic or hyperbolic?
10) Define linear ODE.

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1 | M-76254 (S1)-2035

Roll No. Total No. of Pages : 02
Total No. of Questions : 18
B.Tech.(CSE)/(EE)/(ME)/(Civil Engg.) (2018 & Onwards) (Sem.?2)
MATHEMATICS-II
Subject Code : BTAM-201-18
M.Code : 76254
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION - B & C have FOUR questions each.
3. Attempt any FIVE questions from SECTION B & C carrying EIGHT marks each.
4. Select atleast TWO questions from SECTION - B & C.

SECTION-A
Answer briefly :
1) Is the differential equation e
x
(cos ydx ? sin ydy) = 0 exact?
2) Write the Laplace equation in cylindrical coordinates.
3) Write the 1-D diffusion equation.
4) Write the Euler?s equation.
5) Convert the equation ax
2
+ by
2
= 1 into differential equation.
6) Find the integrating factor, which makes the equation (5x
3
+ 12x
2
+ 6y
2
) dx + 6xydy = 0
exact.
7) Find the solution of the differential equation y ? ? ? ? 3y ? ? 2y = 0
8) Is xv
x
+ yv
y
= v
2
a non-linear PDE?
9) Check if the PDE 2r ? s ? t ? p + q = 0, is parabolic, elliptic or hyperbolic?
10) Define linear ODE.

2 | M-76254 (S1)-2035

SECTION-B
11) Find the power series solution about x = 0, of the differential equation y ? ? ? 4y = 0.
12) Solve the differential equation y ? + 4xy + xy
3
= 0.
13) Solve by method of variation of parameters y ? ? ? 2y ? + y = e
x
tan x.
14) Solve (D
2
+ DD ? ? 6D ?
2
) z = y sin x.

SECTION-C
15) Find the general solution of the Lagrange?s equation 2yzp + zxq = 3xy.
16) a) Find the complete integral of the PDE p(3 + q) = 2qz.
b) Find the general solution of the PDE (2D
2
? DD ?? D ?
2
+ D ? D ?) z = e
2x + 3y

17) a) Derive D?Alembert?s solution of 1-D wave equation.
b) Solve y
2
p
2
? 3xp + y = 0.
18) a) Solve
2
4
2
5 6 ? ? ?
x
d y dy
y e
dx
dx
.
b) Solve
2
2 sin 3 ? ?
dy
y x x
dx





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page of Answer Sheet will lead to UMC against the Student.

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