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Mathematics
Mathematics
Problem
Given that
d
y
d
x
=
k
y
−
x
2
y
2
−
k
x
\frac{dy}{dx} = \frac{ky - x^2}{y^2 - kx}
d
x
d
y
=
y
2
−
k
x
k
y
−
x
2
,
k
>
0
k > 0
k
>
0
when
x
3
+
y
3
−
6
x
y
=
0
x^3 + y^3 - 6xy = 0
x
3
+
y
3
−
6
x
y
=
0
, find the value of
k
k
k
.
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