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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
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B
3
x
y
+
y
2
−
2
x
2
=
c
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C
2
x
y
−
y
2
−
2
x
2
=
c
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D
2
x
y
+
y
2
−
2
x
2
=
c
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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
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