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Mathematics
Mathematics
Problem
A curve has first derivative
d
y
d
x
=
3
x
2
−
y
2
y
−
x
\displaystyle \frac{dy}{dx}= \frac{3x^{2}-y}{2y - x}
d
x
d
y
=
2
y
−
x
3
x
2
−
y
. Obtain an explicit formula for
d
2
y
d
x
2
\displaystyle \frac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
expressed only in terms of
x
x
x
and
y
y
y
.
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