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Mathematics
Mathematics
Problem
The differential equation of all circles passing through the origin and having their centers on the
x
x
x
-axis is (a)
x
2
=
y
2
+
x
y
d
y
d
x
x^2 = y^2 + xy \frac{dy}{dx}
x
2
=
y
2
+
x
y
d
x
d
y
(b)
x
2
+
y
2
=
3
x
y
d
y
d
x
x^2 + y^2 = 3xy \frac{dy}{dx}
x
2
+
y
2
=
3
x
y
d
x
d
y
(c)
y
2
=
x
2
+
2
x
y
d
y
d
x
y^2 = x^2 + 2xy \frac{dy}{dx}
y
2
=
x
2
+
2
x
y
d
x
d
y
(d)
y
2
=
x
2
−
2
x
y
d
y
d
x
y^2 = x^2 - 2xy \frac{dy}{dx}
y
2
=
x
2
−
2
x
y
d
x
d
y
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