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Mathematics
Problem
The differential equation of the family of curves
x
2
+
y
2
−
2
a
y
=
0
x^2 + y^2 - 2ay = 0
x
2
+
y
2
−
2
a
y
=
0
, where
a
a
a
is arbitrary constant, is (a)
(
x
2
−
y
2
)
d
y
d
x
=
2
x
y
(x^2 - y^2) \frac{dy}{dx} = 2xy
(
x
2
−
y
2
)
d
x
d
y
=
2
x
y
(b)
2
(
x
2
+
y
2
)
d
y
d
x
=
x
y
2(x^2 + y^2) \frac{dy}{dx} = xy
2
(
x
2
+
y
2
)
d
x
d
y
=
x
y
(c)
2
(
x
2
−
y
2
)
d
y
d
x
=
x
y
2(x^2 - y^2) \frac{dy}{dx} = xy
2
(
x
2
−
y
2
)
d
x
d
y
=
x
y
(d)
(
x
2
+
y
2
)
d
y
d
x
=
2
x
y
(x^2 + y^2) \frac{dy}{dx} = 2xy
(
x
2
+
y
2
)
d
x
d
y
=
2
x
y
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