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Mathematics
Problem
The general solution of the differential equation
(
y
2
−
x
3
)
d
x
−
x
y
d
y
=
0
(y^2 - x^3) dx - xy dy = 0
(
y
2
−
x
3
)
d
x
−
x
y
d
y
=
0
(
x
≠
0
x \neq 0
x
=
0
) is : (where c is a constant of integration) [JEE-MAIN ONLINE-2019] (1)
y
2
+
2
x
3
+
c
x
2
=
0
y^2 + 2x^3 + cx^2 = 0
y
2
+
2
x
3
+
c
x
2
=
0
(2)
y
2
+
2
x
2
+
c
x
3
=
0
y^2 + 2x^2 + cx^3 = 0
y
2
+
2
x
2
+
c
x
3
=
0
(3)
y
2
−
2
x
3
+
c
x
2
=
0
y^2 - 2x^3 + cx^2 = 0
y
2
−
2
x
3
+
c
x
2
=
0
(4)
y
2
−
2
x
2
+
c
x
3
=
0
y^2 - 2x^2 + cx^3 = 0
y
2
−
2
x
2
+
c
x
3
=
0
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