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Mathematics
Mathematics
Problem
Given the parametric equations
x
=
e
2
t
x=e^{2t}
x
=
e
2
t
and
y
=
t
e
2
t
y=t\,e^{2t}
y
=
t
e
2
t
, eliminate the parameter
t
t
t
after differentiating and express
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
entirely in terms of
x
x
x
.
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