The differential equation is
and the point is
.
Slope field is
.
Draw a solution curve so that it move parallel to the near by segments.
\(a)
\Graph:
\Graph of differential equation and two approximate solutions :
\
(b)
\The differential equation is
.
.
Integrate on each side.
\
Let
.

Substitute corresponding values in the integral.
\
Solution function of the differential equation is
.
Substitute the point
in above solution to find the
value.

Substitute
in solution function.
.
Graph:
\Graph the solution function
.

(a)
\Graph of the differential equation and two approximate solutions is
\
(b)
\Graph of the solutions
is
