Solve the separable differential equation for
u
\displaystyle {u}
u
d
u
d
t
=
e
5
u
+
2
t
.
\displaystyle {\frac{{{d}{u}}}{{{\left.{d}{t}\right.}}}}={e}^{{{5}{u}+{2}{t}}}.
d
t
d
u
=
e
5
u
+
2
t
.
Use the following initial condition:
u
(
0
)
=
4.
\displaystyle {u}{\left({0}\right)}={4}.
u
(
0
)
=
4
.
u
=
\displaystyle {u}=
u
=
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