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Mathematics
Problem
For the curve
x
3
+
y
3
=
3
a
x
y
(
a
>
0
)
x^{3}+y^{3}=3axy\,(a>0)
x
3
+
y
3
=
3
a
x
y
(
a
>
0
)
, derive an expression for
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
in terms of
x
x
x
,
y
y
y
and the parameter
a
a
a
.
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