Find the value of
k
\displaystyle {k}
k
for which the constant function
x
(
t
)
=
k
\displaystyle {x}{\left({t}\right)}={k}
x
(
t
)
=
k
is a solution of the differential equation
6
t
5
d
x
d
t
−
6
x
−
9
=
0
\displaystyle {6}{t}^{{5}}\frac{{{\left.{d}{x}\right.}}}{{{\left.{d}{t}\right.}}}-{6}{x}-{9}={0}
6
t
5
d
t
d
x
−
6
x
−
9
=
0
.
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity