Solve this differential equation:
d
y
d
t
=
0.04
y
(
1000
−
y
)
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}={0.04}{y}{\left({1000}-{y}\right)}
d
t
d
y
=
0.04
y
(
1000
−
y
)
y
(
0
)
=
5
\displaystyle {y}{\left({0}\right)}={5}
y
(
0
)
=
5
y(t)
=
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