1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Solving Homogeneous Differential Equations
Solve the dif...
Question
Solve the differential equation
d
y
d
x
=
4
x
−
3
y
3
x
−
2
y
.
A
3
x
y
−
y
2
−
2
x
2
=
c
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3
x
y
+
y
2
−
2
x
2
=
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
x
y
−
y
2
−
2
x
2
=
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
x
y
+
y
2
−
2
x
2
=
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
3
x
y
−
y
2
−
2
x
2
=
c
Given equation is
d
y
d
x
=
4
x
−
3
y
3
x
−
2
y
⇒
3
x
d
y
−
2
y
d
y
=
4
x
d
x
−
3
y
d
x
⇒
3
(
x
d
y
+
y
d
x
)
−
2
y
d
y
−
4
x
d
x
=
0
⇒
3
d
(
x
y
)
−
2
y
d
y
−
4
x
d
x
=
0
⇒
∫
(
3
d
(
x
y
)
−
2
y
d
y
−
4
x
d
x
)
=
0
⇒
3
x
y
−
y
2
−
2
x
2
=
c
Suggest Corrections
0
Similar questions
Q.
If
2
x
2
−
3
x
y
+
y
2
+
x
+
2
y
−
8
=
0
then
d
y
d
x
=
Q.
Solve the following systems of equations.
2
x
2
+
y
2
+
3
x
y
=
12
,
2
(
x
+
y
)
2
−
y
2
=
14
Q.
I
f
2
x
2
−
3
x
y
+
y
2
+
x
+
2
y
−
8
=
0
t
h
e
n
d
y
d
x
=