Solve the separable differential equation for
u
\displaystyle {u}
u
d
u
d
t
=
e
3
u
+
3
t
.
\displaystyle \frac{{{d}{u}}}{{{\left.{d}{t}\right.}}}={e}^{{{3}{u}+{3}{t}}}.
d
t
d
u
=
e
3
u
+
3
t
.
Use the following initial condition:
u
(
0
)
=
5
\displaystyle {u}{\left({0}\right)}={5}
u
(
0
)
=
5
.
u
=
\displaystyle {u}=
u
=
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