Solve the separable differential equation
d
x
d
t
=
7
x
,
\displaystyle \frac{{{\left.{d}{x}\right.}}}{{{\left.{d}{t}\right.}}}=\frac{{7}}{{x}},
d
t
d
x
=
x
7
,
and find the particular solution satisfying the initial condition
x
(
0
)
=
3.
\displaystyle {x}{\left({0}\right)}={3}.
x
(
0
)
=
3
.
x
(
t
)
=
\displaystyle {x}{\left({t}\right)}=
x
(
t
)
=
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