Let
d
y
d
t
=
−
2
t
+
1
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}=-{2}{t}+{1}
d
t
d
y
=
−
2
t
+
1
. Sketch the direction field, showing the critical lines and the direction arrows, and a trajectory through
(
0
,
−
2
)
\displaystyle {\left({0},-{2}\right)}
(
0
,
−
2
)
.
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