Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Complex Variables and Partial Differential Equations
(3130005)
CVPDE-3130005
Summer-2020
Question-4c ( ii )-OR
BE | Semester-
3
Summer-2020
|
27-10-2020
Q4) (c ( ii ))
4 Marks
Solve by Charpit’s method
yzp
2
-
q
=
0
.
yzp
2
-
q
=
0
-
-
-
-
-
1
⇒
f
=
yzp
2
-
q
Auxiliary equation:
dp
f
x
+
pf
z
=
dq
f
y
+
qf
z
=
dz
-
pf
p
-
qf
q
=
dx
-
f
p
=
dy
-
f
q
⇒
dp
yp
3
=
dq
zp
2
+
yp
2
q
=
dz
-
2
yzp
2
+
q
=
dx
-
2
yzp
=
dy
1
⇒
dp
yp
3
=
dy
1
⇒
∫
1
p
3
dp
=
∫
y
dy
⇒
p
-
2
-
2
=
y
2
2
-
a
2
⇒
1
p
2
=
a
-
y
2
⇒
p
2
=
1
a
-
y
2
⇒
p
=
1
a
-
y
2
-
-
-
-
-
2
→ By
1
and
2
, We have
yzp
2
-
q
=
0
⇒
q
=
yzp
2
⇒
q
=
yz
a
-
y
2
Solution:
dz
=
1
a
-
y
2
dx
+
yz
a
-
y
2
dy
⇒
dz
-
yz
a
-
y
2
dy
=
1
a
-
y
2
dx
⇒
a
-
y
2
dz
-
yz
a
-
y
2
dy
=
dx
⇒
d
z
a
-
y
2
=
dx
⇒
∫
d
z
a
-
y
2
=
∫
dx
⇒
z
a
-
y
2
=
x
+
b
Questions
Go to Question Paper
Q1
(a)
Q1
(b)
Q1
(c ( i ))
Q1
(c ( ii ))
Q2
(a)
Q2
(b)
Q2
(c(i))
Q2
(c(ii))
Q2
(c( i ))
(OR)
Q2
(c ( ii ))
(OR)
Q3
(a)
Q3
(b)
Q3
(c)
Q3
(a)
(OR)
Q3
(b)
(OR)
Q3
(c)
(OR)
Q4
(a)
Q4
(b)
Q4
(c ( i ))
Q4
(c ( ii ))
Q4
(a)
(OR)
Q4
(b)
(OR)
Q4
(c ( i ))
(OR)
Q4
(c ( ii ))
(OR)
Q5
(a)
Q5
(b)
Q5
(c)
Q5
(a)
(OR)
Q5
(b)
(OR)
Q5
(c)
(OR)