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Mathematics
Problem
For the equation
x
2
y
+
e
y
=
ln
x
x^{2}y+e^{y}=\ln x
x
2
y
+
e
y
=
ln
x
(with
x
>
0
x>0
x
>
0
), derive an explicit expression for
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
in terms of
x
x
x
and
y
y
y
.
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