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Mathematics
Problem
A particle moves so that its coordinates satisfy
x
2
+
y
2
=
(
x
2
−
y
2
)
2
x^{2}+y^{2}=\bigl(x^{2}-y^{2}\bigr)^{2}
x
2
+
y
2
=
(
x
2
−
y
2
)
2
. At the moment the particle is at
(
3
,
1
)
\bigl(\sqrt{3},1\bigr)
(
3
,
1
)
, the
y
y
y
–coordinate is increasing at
2
units/s
2\text{ units/s}
2
units/s
. Compute
d
x
d
t
\dfrac{dx}{dt}
d
t
d
x
at that instant (include units).
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