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Mathematics
Problem
The curve satisfying the differential equation,
y
d
x
−
(
x
+
3
y
2
)
d
y
=
0
ydx - (x + 3y^2)dy = 0
y
d
x
−
(
x
+
3
y
2
)
d
y
=
0
and passing through the point
(
1
,
1
)
(1, 1)
(
1
,
1
)
, also passes through the point : (1)
(
−
1
3
,
1
3
)
\left(-\frac{1}{3}, \frac{1}{3}\right)
(
−
3
1
,
3
1
)
(2)
(
1
4
,
−
1
2
)
\left(\frac{1}{4}, -\frac{1}{2}\right)
(
4
1
,
−
2
1
)
(3)
(
1
3
,
−
1
3
)
\left(\frac{1}{3}, -\frac{1}{3}\right)
(
3
1
,
−
3
1
)
(4)
(
1
4
,
1
2
)
\left(\frac{1}{4}, \frac{1}{2}\right)
(
4
1
,
2
1
)
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