Find
u
\displaystyle {u}
u
from the differential equation and initial condition.
d
u
d
t
=
e
1.6
t
−
3.8
u
,
u
(
0
)
=
2.
\displaystyle \frac{{{d}{u}}}{{{\left.{d}{t}\right.}}}={e}^{{{1.6}{t}-{3.8}{u}}},\ \ {u}{\left({0}\right)}={2}.
d
t
d
u
=
e
1.6
t
−
3.8
u
,
u
(
0
)
=
2
.
u
=
\displaystyle {u}=
u
=
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