(a) The differential equation is and the point is
.
.
Apply integral on each side.
\Apply the General Power Rule for Integration:.
.
Graph the function for different value of
.
If then
.
If then
.
Graph:
\(b)
\Find the value of by substituting for
in
.
.
Substitute in
.
The particular solution is .
Graph the particular solution :
(a) Graph:
\(b) Graph of the particular solution is
.