Solve the differential equation
d
y
d
x
=
9
+
e
y
−
9
x
+
5
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}={9}+{e}^{{{y}-{9}{x}+{5}}}
d
x
d
y
=
9
+
e
y
−
9
x
+
5
Give your answer an explicit solution, and use
c
\displaystyle {c}
c
as a constant. You may omit absolute value signs.
y
(
x
)
=
\displaystyle {y}{\left({x}\right)}=
y
(
x
)
=
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\displaystyle
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