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Mathematics
Problem
The curve satisfies the equation
d
y
d
x
=
y
(
x
+
y
3
)
x
(
y
3
−
x
)
and passes through the point
\frac{dy}{dx} = \frac{y(x + y^3)}{x(y^3 - x)} \text{ and passes through the point}
d
x
d
y
=
x
(
y
3
−
x
)
y
(
x
+
y
3
)
and passes through the point
(4, -2) is (A)
y
2
=
−
2
x
+
12
y^2 = -2x + 12
y
2
=
−
2
x
+
12
(B)
2
y
=
−
x
2y = -x
2
y
=
−
x
(C)
y
3
=
−
2
x
y^3 = -2x
y
3
=
−
2
x
(D)
y
2
=
x
y^2 = x
y
2
=
x
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